<?xml version="1.0" encoding="utf-8"?><!DOCTYPE article PUBLIC "-//ES//DTD journal article DTD version 5.5.0//EN//XML" "art550.dtd" [<!ENTITY gr001 SYSTEM "gr001" NDATA IMAGE><!ENTITY gr002 SYSTEM "gr002" NDATA IMAGE><!ENTITY gr003 SYSTEM "gr003" NDATA IMAGE><!ENTITY gr004 SYSTEM "gr004" NDATA IMAGE><!ENTITY gr005 SYSTEM "gr005" NDATA IMAGE>]><article xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" docsubtype="sco" xml:lang="en"><item-info><jid>PLB</jid><aid>33583</aid><ce:pii>S0370-2693(18)30153-9</ce:pii><ce:doi>10.1016/j.physletb.2018.02.043</ce:doi><ce:copyright year="2018" type="other">The Author(s)</ce:copyright><ce:doctopics><ce:doctopic id="doc0010"><ce:text>Experiments</ce:text></ce:doctopic></ce:doctopics><ce:preprint><ce:inter-ref xlink:role="http://www.elsevier.com/xml/linking-roles/preprint" xlink:href="arxiv:2071522" id="inf0010"/></ce:preprint></item-info><ce:floats><ce:figure id="fg0010"><ce:label>Fig. 1</ce:label><ce:caption id="cp0010"><ce:simple-para id="sp0010">(Colour online.) Invariant mass distribution of p<ce:italic>π</ce:italic><ce:sup>−</ce:sup> pairs with an additional e<ce:sup>+</ce:sup>–e<ce:sup>−</ce:sup> pair in the same event. The dashed curve shows a combination of a polynomial background fit and a gaussian fit applied to the signal area. <ce:bold>Inset:</ce:bold> Four-particle invariant mass distribution of a proton, pion and dielectron for p<ce:italic>π</ce:italic><ce:sup>−</ce:sup> pairs in the Λ signal region. Measured signal (black crosses), combinatorial background (red histogram) and extracted net signal (gray line) are shown in comparison to a UrQMD simulation (orange histogram) with scaled Σ<ce:sup>0</ce:sup> production.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0010">Fig. 1</ce:alt-text><ce:link locator="gr001" xlink:type="simple" xlink:href="pii:S0370269318301539/gr001" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" id="ln0010"/></ce:figure><ce:figure id="fg0020"><ce:label>Fig. 2</ce:label><ce:caption id="cp0020"><ce:simple-para id="sp0020">(Colour online.) Reduced transverse mass distributions of Σ<ce:sup>0</ce:sup>s corrected for acceptance and detection efficiency. The data are plotted for two rapidity bins. The red dashed lines indicate Maxwell–Boltzmann fits. See text for details.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0020">Fig. 2</ce:alt-text><ce:link locator="gr002" xlink:type="simple" xlink:href="pii:S0370269318301539/gr002" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" id="ln0020"/></ce:figure><ce:figure id="fg0030"><ce:label>Fig. 3</ce:label><ce:caption id="cp0030"><ce:simple-para id="sp0030">(Colour online.) <ce:bold>Top:</ce:bold> Experimental rapidity–density distributions of Λ (black) and Σ<ce:sup>0</ce:sup> (blue) hyperons. The Λ distribution <ce:cross-ref refid="br0030" id="crf0010">[3]</ce:cross-ref> refers to all experimentally identified Λs. The shaded bands denote the systematic errors. The dotted lines represent model calculations scaled to match the measured Σ<ce:sup>0</ce:sup> yield (see text). <ce:bold>Bottom:</ce:bold> The unscaled ratio Λ<ce:inf><ce:italic>all</ce:italic></ce:inf>/Σ<ce:sup>0</ce:sup>. Colour and line codes as in top panel.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0030">Fig. 3</ce:alt-text><ce:link locator="gr003" xlink:type="simple" xlink:href="pii:S0370269318301539/gr003" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" id="ln0030"/></ce:figure><ce:figure id="fg0040"><ce:label>Fig. 4</ce:label><ce:caption id="cp0040"><ce:simple-para id="sp0040">(Colour online.) Experimental excitation function of Λ/Σ<ce:sup>0</ce:sup> production cross section ratios from exclusive measurements of <ce:italic>σ</ce:italic>(<ce:italic>pp</ce:italic> → <ce:italic>pK</ce:italic>Λ) and <ce:italic>σ</ce:italic>(<ce:italic>pp</ce:italic> → <ce:italic>pK</ce:italic>Σ<ce:sup>0</ce:sup>) reactions. The excess energy above production threshold refers to free nucleon–nucleon collisions. Data (symbols) from BNL <ce:cross-ref refid="br0060" id="crf0020">[6]</ce:cross-ref>, COSY <ce:cross-refs refid="br0040 br0050 br0370" id="crs0010">[4,5,37]</ce:cross-refs>, LB <ce:cross-ref refid="br0260" id="crf0030">[26]</ce:cross-ref> and present work. The thin curve is a fit from <ce:cross-ref refid="br0370" id="crf0040">[37]</ce:cross-ref>. The dotted and solid curves exhibit UrQMD simulations. Fermi motion has been neglected for p+A collisions.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0040">Fig. 4</ce:alt-text><ce:link locator="gr004" xlink:type="simple" xlink:href="pii:S0370269318301539/gr004" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" id="ln0040"/></ce:figure><ce:figure id="fg0050"><ce:label>Fig. 5</ce:label><ce:caption id="cp0050"><ce:simple-para id="sp0050">(Colour online.) Experimental hadron yields measured by HADES <ce:cross-ref refid="br0390" id="crf0050">[39]</ce:cross-ref> in comparison to a THERMUS statistical model fit w/o Σ<ce:sup>0</ce:sup>.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0050">Fig. 5</ce:alt-text><ce:link locator="gr005" xlink:type="simple" xlink:href="pii:S0370269318301539/gr005" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" id="ln0050"/></ce:figure><ce:table xmlns="http://www.elsevier.com/xml/common/cals/dtd" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" id="tbl0010" frame="topbot" rowsep="0" colsep="0"><ce:label>Table 1</ce:label><ce:caption id="cp0060"><ce:simple-para id="sp0060">Total Σ<ce:sup>0</ce:sup> yields and cross sections after extrapolation under three assumptions.</ce:simple-para></ce:caption><ce:alt-text role="short" id="at0060">Table 1</ce:alt-text><tgroup cols="3"><colspec colnum="1" colname="col1" align="left"/><colspec colnum="2" colname="col2" align="left"/><colspec colnum="3" colname="col3" align="left"/><thead valign="top"><row rowsep="1"><entry xmlns="http://www.elsevier.com/xml/common/dtd" role="rowhead">Shape</entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">Σ<ce:sup>0</ce:sup> yield per event</entry><entry xmlns="http://www.elsevier.com/xml/common/dtd"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si75.gif"><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msubsup></mml:math> [mb]</entry></row></thead><tbody valign="top"><row><entry xmlns="http://www.elsevier.com/xml/common/dtd" role="rowhead">Λ-like</entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">5.2 × 10<ce:sup>−3</ce:sup></entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">4.4 ± 0.4<ce:sup><ce:italic>stat</ce:italic></ce:sup> ± 1.1<ce:sup><ce:italic>sys</ce:italic></ce:sup> ± 0.5<ce:sup><ce:italic>norm</ce:italic></ce:sup></entry></row><row><entry xmlns="http://www.elsevier.com/xml/common/dtd" role="rowhead">GiBUU</entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">7.3 × 10<ce:sup>−3</ce:sup></entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">6.2 ± 0.5<ce:sup><ce:italic>stat</ce:italic></ce:sup> ± 1.5<ce:sup><ce:italic>sys</ce:italic></ce:sup> ± 0.6<ce:sup><ce:italic>norm</ce:italic></ce:sup></entry></row><row><entry xmlns="http://www.elsevier.com/xml/common/dtd" role="rowhead">UrQMD</entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">8.6 × 10<ce:sup>−3</ce:sup></entry><entry xmlns="http://www.elsevier.com/xml/common/dtd">7.3 ± 0.6<ce:sup><ce:italic>stat</ce:italic></ce:sup> ± 1.8<ce:sup><ce:italic>sys</ce:italic></ce:sup> ± 0.8<ce:sup><ce:italic>norm</ce:italic></ce:sup></entry></row></tbody></tgroup></ce:table></ce:floats><head><ce:title id="ti0010">Σ<ce:sup>0</ce:sup> production in proton nucleus collisions near threshold</ce:title><ce:author-group id="ag0010"><ce:collaboration id="co0010" collaboration-id="S0370269318301539-db90c7cc22d8d1564d9a50f132b0eb25"><ce:text>HADES Collaboration</ce:text><ce:author-group id="ag0020"><ce:author id="au0010" author-id="S0370269318301539-187b75213f078a8c132220fe2eea1444"><ce:given-name>J.</ce:given-name><ce:surname>Adamczewski-Musch</ce:surname><ce:cross-ref refid="aff0040" id="crf0060"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au0020" author-id="S0370269318301539-c17c11fed3e48b1be24af9f902903302"><ce:given-name>G.</ce:given-name><ce:surname>Agakishiev</ce:surname><ce:cross-ref refid="aff0070" id="crf0070"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au0030" author-id="S0370269318301539-9f8f4a003e3ff6ad2afe3c598abac261"><ce:given-name>O.</ce:given-name><ce:surname>Arnold</ce:surname><ce:cross-ref refid="aff0090" id="crf0080"><ce:sup>i</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0100" id="crf0090"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0040" author-id="S0370269318301539-ed466225e77189512755895529357cc0"><ce:given-name>E.T.</ce:given-name><ce:surname>Atomssa</ce:surname><ce:cross-ref refid="aff0150" id="crf0100"><ce:sup>o</ce:sup></ce:cross-ref></ce:author><ce:author id="au0050" author-id="S0370269318301539-8ab81311a6a93ad4b8bcea44254f848d"><ce:given-name>C.</ce:given-name><ce:surname>Behnke</ce:surname><ce:cross-ref refid="aff0080" id="crf0110"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au0060" author-id="S0370269318301539-bd5129d33a4cf7436c4b31df83cc0e5e"><ce:given-name>J.C.</ce:given-name><ce:surname>Berger-Chen</ce:surname><ce:cross-ref refid="aff0090" id="crf0120"><ce:sup>i</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0100" id="crf0130"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0070" author-id="S0370269318301539-38f4492a2a11d413186fa95232a5b4cf"><ce:given-name>J.</ce:given-name><ce:surname>Biernat</ce:surname><ce:cross-ref refid="aff0030" id="crf0140"><ce:sup>c</ce:sup></ce:cross-ref></ce:author><ce:author id="au0080" author-id="S0370269318301539-cd300b1cd1c22b03a64928595ba97bf4"><ce:given-name>A.</ce:given-name><ce:surname>Blanco</ce:surname><ce:cross-ref refid="aff0020" id="crf0150"><ce:sup>b</ce:sup></ce:cross-ref></ce:author><ce:author id="au0090" author-id="S0370269318301539-16af81fa43d3b91d3180849896379639"><ce:given-name>C.</ce:given-name><ce:surname>Blume</ce:surname><ce:cross-ref refid="aff0080" id="crf0160"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au0100" author-id="S0370269318301539-d92eb4c044f4eb66e6aaaaac6ba39962"><ce:given-name>M.</ce:given-name><ce:surname>Böhmer</ce:surname><ce:cross-ref refid="aff0100" id="crf0170"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0110" author-id="S0370269318301539-a05535b80cba1b17d1107c39b1ddc4db"><ce:given-name>P.</ce:given-name><ce:surname>Bordalo</ce:surname><ce:cross-ref refid="aff0020" id="crf0180"><ce:sup>b</ce:sup></ce:cross-ref></ce:author><ce:author id="au0120" author-id="S0370269318301539-e00e4cdd02251fa1ed2a9947228dd4f9"><ce:given-name>S.</ce:given-name><ce:surname>Chernenko</ce:surname><ce:cross-ref refid="aff0070" id="crf0190"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au0130" author-id="S0370269318301539-aa26687a2cdc7ea936261de2fdbff49f"><ce:given-name>C.</ce:given-name><ce:surname>Deveaux</ce:surname><ce:cross-ref refid="aff0110" id="crf0200"><ce:sup>k</ce:sup></ce:cross-ref></ce:author><ce:author id="au0140" author-id="S0370269318301539-dcec37968c26ea50b968841bc03b50ad"><ce:given-name>A.</ce:given-name><ce:surname>Dybczak</ce:surname><ce:cross-ref refid="aff0030" id="crf0210"><ce:sup>c</ce:sup></ce:cross-ref></ce:author><ce:author id="au0150" author-id="S0370269318301539-9bc0fd8466c409da7ea9dab481a48954"><ce:given-name>E.</ce:given-name><ce:surname>Epple</ce:surname><ce:cross-ref refid="aff0090" id="crf0220"><ce:sup>i</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0100" id="crf0230"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0160" author-id="S0370269318301539-81e51a0849cafac31228747a415244b4"><ce:given-name>L.</ce:given-name><ce:surname>Fabbietti</ce:surname><ce:cross-ref refid="aff0090" id="crf0240"><ce:sup>i</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0100" id="crf0250"><ce:sup>j</ce:sup></ce:cross-ref><ce:cross-ref refid="cr0010" id="crf1410"><ce:sup>⁎</ce:sup></ce:cross-ref><ce:e-address type="email" xlink:href="mailto:Laura.Fabbietti@ph.tum.de" id="ea0010">Laura.Fabbietti@ph.tum.de</ce:e-address></ce:author><ce:author id="au0170" author-id="S0370269318301539-54ebe4dffd67dfdbbb465400fb0eb718"><ce:given-name>O.</ce:given-name><ce:surname>Fateev</ce:surname><ce:cross-ref refid="aff0070" id="crf0260"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au0180" author-id="S0370269318301539-17123fb2b33578ccaee822861bd35354"><ce:given-name>P.</ce:given-name><ce:surname>Fonte</ce:surname><ce:cross-ref refid="aff0020" id="crf0270"><ce:sup>b</ce:sup></ce:cross-ref><ce:cross-ref refid="fn0010" id="crf0280"><ce:sup>1</ce:sup></ce:cross-ref></ce:author><ce:author id="au0190" author-id="S0370269318301539-4eadcac4c81cb08a8155876c0bf8325c"><ce:given-name>C.</ce:given-name><ce:surname>Franco</ce:surname><ce:cross-ref refid="aff0020" id="crf0290"><ce:sup>b</ce:sup></ce:cross-ref></ce:author><ce:author id="au0200" 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id="crf0340"><ce:sup>q</ce:sup></ce:cross-ref></ce:author><ce:author id="au0240" author-id="S0370269318301539-4a4a69a23d6c19cd7db10123c182dc24"><ce:given-name>R.</ce:given-name><ce:surname>Gernhäuser</ce:surname><ce:cross-ref refid="aff0100" id="crf0350"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0250" author-id="S0370269318301539-0e3b569da9e1c66ec3761d04276873b2"><ce:given-name>K.</ce:given-name><ce:surname>Gill</ce:surname><ce:cross-ref refid="aff0080" id="crf0360"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au0260" author-id="S0370269318301539-33155a91ed3e0e8cf87fc9133334797a"><ce:given-name>M.</ce:given-name><ce:surname>Golubeva</ce:surname><ce:cross-ref refid="aff0120" id="crf0370"><ce:sup>l</ce:sup></ce:cross-ref></ce:author><ce:author id="au0270" author-id="S0370269318301539-661c68f147f05d421c874da3652bce0d"><ce:given-name>F.</ce:given-name><ce:surname>Guber</ce:surname><ce:cross-ref refid="aff0120" id="crf0380"><ce:sup>l</ce:sup></ce:cross-ref></ce:author><ce:author id="au0280" author-id="S0370269318301539-9875cfe598f8d99e22fbab8b56fb687f"><ce:given-name>M.</ce:given-name><ce:surname>Gumberidze</ce:surname><ce:cross-ref refid="aff0050" id="crf0390"><ce:sup>e</ce:sup></ce:cross-ref><ce:cross-ref refid="fn0020" id="crf0400"><ce:sup>2</ce:sup></ce:cross-ref></ce:author><ce:author id="au0290" author-id="S0370269318301539-c7f1be84efb66b6981ebb79dcc36a6cd"><ce:given-name>S.</ce:given-name><ce:surname>Harabasz</ce:surname><ce:cross-ref refid="aff0030" id="crf0410"><ce:sup>c</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0050" id="crf0420"><ce:sup>e</ce:sup></ce:cross-ref></ce:author><ce:author id="au0300" author-id="S0370269318301539-7aeb59f7ddc047f25e72cc98400117f0"><ce:given-name>T.</ce:given-name><ce:surname>Hennino</ce:surname><ce:cross-ref refid="aff0150" id="crf0430"><ce:sup>o</ce:sup></ce:cross-ref></ce:author><ce:author id="au0310" author-id="S0370269318301539-6c119780ba7200f25d48fb725129872c"><ce:given-name>S.</ce:given-name><ce:surname>Hlavac</ce:surname><ce:cross-ref refid="aff0010" id="crf0440"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author id="au0320" author-id="S0370269318301539-0b9f32b510e52a7ad46e457e537ea1ce"><ce:given-name>C.</ce:given-name><ce:surname>Höhne</ce:surname><ce:cross-ref refid="aff0110" id="crf0450"><ce:sup>k</ce:sup></ce:cross-ref></ce:author><ce:author id="au0330" author-id="S0370269318301539-298abbeecb369c3b90b02168bc1ccd0d"><ce:given-name>R.</ce:given-name><ce:surname>Holzmann</ce:surname><ce:cross-ref refid="aff0040" id="crf0460"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au0340" author-id="S0370269318301539-cb56880d55ade286954933213722aca2"><ce:given-name>A.</ce:given-name><ce:surname>Ierusalimov</ce:surname><ce:cross-ref refid="aff0070" id="crf0470"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au0350" author-id="S0370269318301539-e62de60538dfc7d078a159446e5ba51d"><ce:given-name>A.</ce:given-name><ce:surname>Ivashkin</ce:surname><ce:cross-ref refid="aff0120" id="crf0480"><ce:sup>l</ce:sup></ce:cross-ref></ce:author><ce:author id="au0360" author-id="S0370269318301539-972ec032cd68d6e1d9545ae50d9cb523"><ce:given-name>M.</ce:given-name><ce:surname>Jurkovic</ce:surname><ce:cross-ref refid="aff0100" id="crf0490"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au0370" author-id="S0370269318301539-6fef949f493ded45460f6856c7fb0c15"><ce:given-name>B.</ce:given-name><ce:surname>Kämpfer</ce:surname><ce:cross-ref refid="aff0060" id="crf0500"><ce:sup>f</ce:sup></ce:cross-ref><ce:cross-ref refid="fn0030" id="crf0510"><ce:sup>3</ce:sup></ce:cross-ref></ce:author><ce:author id="au0380" author-id="S0370269318301539-580ddb0bc4ebcafe0237765610444018"><ce:given-name>T.</ce:given-name><ce:surname>Karavicheva</ce:surname><ce:cross-ref refid="aff0120" id="crf0520"><ce:sup>l</ce:sup></ce:cross-ref></ce:author><ce:author id="au0390" author-id="S0370269318301539-b9cadf4ca91952e21bfe7fbdd2861486"><ce:given-name>B.</ce:given-name><ce:surname>Kardan</ce:surname><ce:cross-ref refid="aff0080" id="crf0530"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au0400" author-id="S0370269318301539-a538c87b92d452d6bea251aa73a94a72"><ce:given-name>I.</ce:given-name><ce:surname>Koenig</ce:surname><ce:cross-ref refid="aff0040" id="crf0540"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au0410" author-id="S0370269318301539-17c3da98187a5e0587e7ddc4cc6a6ee0"><ce:given-name>W.</ce:given-name><ce:surname>Koenig</ce:surname><ce:cross-ref refid="aff0040" id="crf0550"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au0420" author-id="S0370269318301539-6a38856d454e4dbfbf9e4807a6f2d060"><ce:given-name>B.W.</ce:given-name><ce:surname>Kolb</ce:surname><ce:cross-ref refid="aff0040" 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author-id="S0370269318301539-76a46efbb690c2c4c76a4c9824798338"><ce:given-name>A.</ce:given-name><ce:surname>Tarantola</ce:surname><ce:cross-ref refid="aff0080" id="crf1190"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au0990" author-id="S0370269318301539-3e1c08f80c312dd20a2d19c63926a668"><ce:given-name>K.</ce:given-name><ce:surname>Teilab</ce:surname><ce:cross-ref refid="aff0080" id="crf1200"><ce:sup>h</ce:sup></ce:cross-ref></ce:author><ce:author id="au1000" author-id="S0370269318301539-573be318145fa614a075184446c78936"><ce:given-name>P.</ce:given-name><ce:surname>Tlusty</ce:surname><ce:cross-ref refid="aff0160" id="crf1210"><ce:sup>p</ce:sup></ce:cross-ref></ce:author><ce:author id="au1010" author-id="S0370269318301539-d851f31548069f8cfc60aa7b4497a4e8"><ce:given-name>M.</ce:given-name><ce:surname>Traxler</ce:surname><ce:cross-ref refid="aff0040" id="crf1220"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au1020" author-id="S0370269318301539-05e95f5f7baae88829e17fd5a7bd4195"><ce:given-name>H.</ce:given-name><ce:surname>Tsertos</ce:surname><ce:cross-ref refid="aff0140" id="crf1230"><ce:sup>n</ce:sup></ce:cross-ref></ce:author><ce:author id="au1030" author-id="S0370269318301539-15393986612e25e7151db2a8b9063673"><ce:given-name>T.</ce:given-name><ce:surname>Vasiliev</ce:surname><ce:cross-ref refid="aff0070" id="crf1240"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au1040" author-id="S0370269318301539-6b6a246c3474a05e63d5934a151ea44f"><ce:given-name>V.</ce:given-name><ce:surname>Wagner</ce:surname><ce:cross-ref refid="aff0160" id="crf1250"><ce:sup>p</ce:sup></ce:cross-ref></ce:author><ce:author id="au1050" author-id="S0370269318301539-b5c8ca5bb64f6fcfad1750400709899c"><ce:given-name>C.</ce:given-name><ce:surname>Wendisch</ce:surname><ce:cross-ref refid="aff0040" id="crf1260"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au1060" author-id="S0370269318301539-217e733463a092251de19bd3374a6f59"><ce:given-name>J.</ce:given-name><ce:surname>Wirth</ce:surname><ce:cross-ref refid="aff0090" id="crf1270"><ce:sup>i</ce:sup></ce:cross-ref><ce:cross-ref refid="aff0100" id="crf1280"><ce:sup>j</ce:sup></ce:cross-ref></ce:author><ce:author id="au1070" author-id="S0370269318301539-6ec85e3f5d11e1585e637145672569c8"><ce:given-name>J.</ce:given-name><ce:surname>Wüstenfeld</ce:surname><ce:cross-ref refid="aff0060" id="crf1290"><ce:sup>f</ce:sup></ce:cross-ref></ce:author><ce:author id="au1080" author-id="S0370269318301539-210fdde06edc3f61fea32d911ff34b09"><ce:given-name>Y.</ce:given-name><ce:surname>Zanevsky</ce:surname><ce:cross-ref refid="aff0070" id="crf1300"><ce:sup>g</ce:sup></ce:cross-ref></ce:author><ce:author id="au1090" author-id="S0370269318301539-a1c08abaa61adf4981968f47a21b5935"><ce:given-name>P.</ce:given-name><ce:surname>Zumbruch</ce:surname><ce:cross-ref refid="aff0040" id="crf1310"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:affiliation id="aff0010" affiliation-id="S0370269318301539-d501639c9a455f7aa7d68ed8c6e14d1a"><ce:label>a</ce:label><ce:textfn>Institute of Physics, Slovak Academy of Sciences, 84228 Bratislava, Slovakia</ce:textfn><sa:affiliation><sa:organization>Institute of Physics</sa:organization><sa:organization>Slovak Academy of Sciences</sa:organization><sa:city>Bratislava</sa:city><sa:postal-code>84228</sa:postal-code><sa:country>Slovakia</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0020" affiliation-id="S0370269318301539-7d31c6388afbf1b61a6910c9c3827a1a"><ce:label>b</ce:label><ce:textfn>LIP-Laboratório de Instrumentação e Física Experimental de Partículas, 3004-516 Coimbra, Portugal</ce:textfn><sa:affiliation><sa:organization>LIP-Laboratório de Instrumentação e Física Experimental de Partículas</sa:organization><sa:city>Coimbra</sa:city><sa:postal-code>3004-516</sa:postal-code><sa:country>Portugal</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0030" affiliation-id="S0370269318301539-e199d952997862a2f6c5d159c39e06ed"><ce:label>c</ce:label><ce:textfn>Smoluchowski Institute of Physics, Jagiellonian University of Cracow, 30-059 Kraków, Poland</ce:textfn><sa:affiliation><sa:organization>Smoluchowski Institute of Physics</sa:organization><sa:organization>Jagiellonian University of Cracow</sa:organization><sa:city>Kraków</sa:city><sa:postal-code>30-059</sa:postal-code><sa:country>Poland</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0040" affiliation-id="S0370269318301539-bb57fe375f434eb3893e7e7ee727fc46"><ce:label>d</ce:label><ce:textfn>GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany</ce:textfn><sa:affiliation><sa:organization>GSI Helmholtzzentrum für Schwerionenforschung GmbH</sa:organization><sa:city>Darmstadt</sa:city><sa:postal-code>64291</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0050" affiliation-id="S0370269318301539-3d506c7aef2ed88f0f3010bd2945ad66"><ce:label>e</ce:label><ce:textfn>Technische Universität Darmstadt, 64289 Darmstadt, Germany</ce:textfn><sa:affiliation><sa:organization>Technische Universität Darmstadt</sa:organization><sa:city>Darmstadt</sa:city><sa:postal-code>64289</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0060" affiliation-id="S0370269318301539-d4b1a92581df1c13805460a06fe5b64f"><ce:label>f</ce:label><ce:textfn>Institut für Strahlenphysik, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany</ce:textfn><sa:affiliation><sa:organization>Institut für Strahlenphysik</sa:organization><sa:organization>Helmholtz-Zentrum Dresden-Rossendorf</sa:organization><sa:city>Dresden</sa:city><sa:postal-code>01314</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0070" affiliation-id="S0370269318301539-3c47181390238e3f3df072f2d561717d"><ce:label>g</ce:label><ce:textfn>Joint Institute of Nuclear Research, 141980 Dubna, Russia</ce:textfn><sa:affiliation><sa:organization>Joint Institute of Nuclear Research</sa:organization><sa:city>Dubna</sa:city><sa:postal-code>141980</sa:postal-code><sa:country>Russia</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0080" affiliation-id="S0370269318301539-1d12679c7851a454786fc9e6e983bf83"><ce:label>h</ce:label><ce:textfn>Institut für Kernphysik, Goethe-Universität, 60438 Frankfurt, Germany</ce:textfn><sa:affiliation><sa:organization>Institut für Kernphysik</sa:organization><sa:organization>Goethe-Universität</sa:organization><sa:city>Frankfurt</sa:city><sa:postal-code>60438</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0090" affiliation-id="S0370269318301539-48de5699d00a6cba5fadae61d80b3b8e"><ce:label>i</ce:label><ce:textfn>Excellence Cluster ‘Origin and Structure of the Universe’, 85748 Garching, Germany</ce:textfn><sa:affiliation><sa:organization>Excellence Cluster ‘Origin and Structure of the Universe’</sa:organization><sa:city>Garching</sa:city><sa:postal-code>85748</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0100" affiliation-id="S0370269318301539-d246053cb5e00e7570078449b459aa1e"><ce:label>j</ce:label><ce:textfn>Physik Department E62, Technische Universität München, 85748 Garching, Germany</ce:textfn><sa:affiliation><sa:organization>Physik Department E62</sa:organization><sa:organization>Technische Universität München</sa:organization><sa:city>Garching</sa:city><sa:postal-code>85748</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0110" affiliation-id="S0370269318301539-0b66500df23e95ba6c5a51ce606b092d"><ce:label>k</ce:label><ce:textfn>II.Physikalisches Institut, Justus Liebig Universität Giessen, 35392 Giessen, Germany</ce:textfn><sa:affiliation><sa:organization>II.Physikalisches Institut</sa:organization><sa:organization>Justus Liebig Universität Giessen</sa:organization><sa:city>Giessen</sa:city><sa:postal-code>35392</sa:postal-code><sa:country>Germany</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0120" affiliation-id="S0370269318301539-d4e9d0c357605df3744ace5adc918e78"><ce:label>l</ce:label><ce:textfn>Institute for Nuclear Research, Russian Academy of Science, 117312 Moscow, Russia</ce:textfn><sa:affiliation><sa:organization>Institute for Nuclear Research</sa:organization><sa:organization>Russian Academy of Science</sa:organization><sa:city>Moscow</sa:city><sa:postal-code>117312</sa:postal-code><sa:country>Russia</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0130" affiliation-id="S0370269318301539-5e8fe8d88e08188b7eab37fe2e63499f"><ce:label>m</ce:label><ce:textfn>Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia</ce:textfn><sa:affiliation><sa:organization>Institute of Theoretical and Experimental Physics</sa:organization><sa:city>Moscow</sa:city><sa:postal-code>117218</sa:postal-code><sa:country>Russia</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0140" affiliation-id="S0370269318301539-d64cc3b83f456024c88dbede12ad7c8e"><ce:label>n</ce:label><ce:textfn>Department of Physics, University of Cyprus, 1678 Nicosia, Cyprus</ce:textfn><sa:affiliation><sa:organization>Department of Physics</sa:organization><sa:organization>University of Cyprus</sa:organization><sa:city>Nicosia</sa:city><sa:postal-code>1678</sa:postal-code><sa:country>Cyprus</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0150" affiliation-id="S0370269318301539-81ad8b3f579e044964ddac24543e0a92"><ce:label>o</ce:label><ce:textfn>Institut de Physique Nucléaire (UMR 8608), CNRS/IN2P3-Université Paris Sud, F-91406 Orsay Cedex, France</ce:textfn><sa:affiliation><sa:organization>Institut de Physique Nucléaire (UMR 8608)</sa:organization><sa:organization>CNRS/IN2P3-Université Paris Sud</sa:organization><sa:city>Orsay Cedex</sa:city><sa:postal-code>F-91406</sa:postal-code><sa:country>France</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0160" affiliation-id="S0370269318301539-6d1542b753a7d64549e775511b70e039"><ce:label>p</ce:label><ce:textfn>Nuclear Physics Institute, Academy of Sciences of Czech Republic, 25068 Rez, Czech Republic</ce:textfn><sa:affiliation><sa:organization>Nuclear Physics Institute</sa:organization><sa:organization>Academy of Sciences of Czech Republic</sa:organization><sa:city>Rez</sa:city><sa:postal-code>25068</sa:postal-code><sa:country>Czech Republic</sa:country></sa:affiliation></ce:affiliation><ce:affiliation id="aff0170" affiliation-id="S0370269318301539-0d2e08d5ff601243e77211f53fb36ac6"><ce:label>q</ce:label><ce:textfn>LabCAF. F. Física, Univ. de Santiago de Compostela, 15706 Santiago de Compostela, Spain</ce:textfn><sa:affiliation><sa:organization>LabCAF. F. Física</sa:organization><sa:organization>Univ. de Santiago de Compostela</sa:organization><sa:city>Santiago de Compostela</sa:city><sa:postal-code>15706</sa:postal-code><sa:country>Spain</sa:country></sa:affiliation></ce:affiliation><ce:correspondence id="cr0010"><ce:label>⁎</ce:label><ce:text>Corresponding authors.</ce:text></ce:correspondence><ce:footnote id="fn0010"><ce:label>1</ce:label><ce:note-para id="np0010">Also at ISEC Coimbra, Coimbra, Portugal.</ce:note-para></ce:footnote><ce:footnote id="fn0020"><ce:label>2</ce:label><ce:note-para id="np0020">Also at ExtreMe Matter Institute EMMI, 64291 Darmstadt, Germany.</ce:note-para></ce:footnote><ce:footnote id="fn0030"><ce:label>3</ce:label><ce:note-para id="np0030">Also at Technische Universität Dresden, 01062 Dresden, Germany.</ce:note-para></ce:footnote><ce:footnote id="fn0040"><ce:label>4</ce:label><ce:note-para id="np0040">Also at Frederick University, 1036 Nicosia, Cyprus.</ce:note-para></ce:footnote><ce:footnote id="fn0050"><ce:label>5</ce:label><ce:note-para id="np0050">Also at Dipartimento di Fisica and INFN, Università di Torino, 10125 Torino, Italy.</ce:note-para></ce:footnote></ce:author-group></ce:collaboration></ce:author-group><ce:date-received day="15" month="11" year="2017"/><ce:date-revised day="17" month="2" year="2018"/><ce:date-accepted day="19" month="2" year="2018"/><ce:miscellaneous id="ms0010">Editor: D.F. Geesaman</ce:miscellaneous><ce:abstract id="ab0010"><ce:section-title id="st0010">Abstract</ce:section-title><ce:abstract-sec id="as0010"><ce:simple-para id="sp0070">The production of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> baryons in the nuclear reaction p (3.5 GeV) + Nb (corresponding to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif"><mml:msqrt><mml:mrow><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msqrt><mml:mo>=</mml:mo><mml:mn>3.18</mml:mn></mml:math> GeV) is studied with the detector set-up HADES at GSI, Darmstadt. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>s were identified via the decay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>γ</mml:mi></mml:math> with subsequent decays <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> in coincidence with a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif"><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> pair from either external (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si32.gif"><mml:mi>γ</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math>) or internal (Dalitz decay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.gif"><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math>) gamma conversions. The differential <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> cross section integrated over the detector acceptance, i.e. the rapidity interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si8.gif"><mml:mn>0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1.1</mml:mn></mml:math>, has been extracted as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si73.gif"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.6</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math> mb, yielding the inclusive production cross section in full phase space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.gif"><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>5.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>1.4</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>1.4</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.6</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1.7</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msup></mml:math> mb by averaging over different extrapolation methods. The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si11.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> ratio within the HADES acceptance is equal to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.gif"><mml:mn>2.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.6</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup></mml:math>. The obtained rapidity and momentum distributions are compared to transport model calculations. The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> yield agrees with the statistical model of particle production in nuclear reactions.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords id="kws0010"><ce:section-title id="st0020">Keywords</ce:section-title><ce:keyword id="kw0010"><ce:text>Hyperons</ce:text></ce:keyword><ce:keyword id="kw0020"><ce:text>Strangeness</ce:text></ce:keyword><ce:keyword id="kw0030"><ce:text>Proton</ce:text></ce:keyword><ce:keyword id="kw0040"><ce:text>Nucleus</ce:text></ce:keyword></ce:keywords></head><body><ce:sections><ce:section id="se0010"><ce:label>1</ce:label><ce:section-title id="st0030">Introduction</ce:section-title><ce:para id="pr0010">The study of hyperon production in proton-induced collisions at beam energies of a few GeV is important for many open questions in the field of hadron physics. While several experimental results exist for Λ hyperons in p+p and p+A reactions <ce:cross-refs refid="br0010 br0020 br0030 br0040 br0050 br0060" id="crs0020">[1–6]</ce:cross-refs>, measurements of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production are scarce <ce:cross-refs refid="br0040 br0050 br0060" id="crs0030">[4–6]</ce:cross-refs>. The dominant electromagnetic decay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>+</mml:mo><mml:mi>γ</mml:mi></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif"><mml:mrow><mml:mi mathvariant="normal">BR</mml:mi></mml:mrow><mml:mo>≈</mml:mo><mml:mn>100</mml:mn><mml:mtext>%</mml:mtext></mml:math>) requires the identification of photons with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si15.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">E</mml:mi></mml:mrow><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:msub><mml:mo>≃</mml:mo><mml:mn>80</mml:mn></mml:math> MeV coincident to the detection of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si16.gif"><mml:mi mathvariant="normal">p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> pairs from Λ decays. Our measurement is the first step towards gaining access to the hyperon electromagnetic form factors <ce:cross-ref refid="br0070" id="crf1320">[7]</ce:cross-ref>. Once the measurement of virtual photons in the Dalitz decay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si17.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si18.gif"><mml:mrow><mml:mi mathvariant="normal">BR</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn><mml:mtext>%</mml:mtext></mml:math>) is performed it can be separated from the decays involving a real photon and therefore provide complementary information on the nucleon and Δ baryon form factors <ce:cross-ref refid="br0080" id="crf1330">[8]</ce:cross-ref>.</ce:para><ce:para id="pr0020">Hadron collisions at energies of a few GeV with hyperons in the final state are also suited to study the role played by intermediate hadronic resonances in the strangeness production process. Indeed, non-strange resonances like N* and Δ have been found to contribute significantly <ce:cross-refs refid="br0090 br0100 br0110 br0120 br0130" id="crs0040">[9–13]</ce:cross-refs> via the channels <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si19.gif"><mml:msup><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si20.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1385</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math>. In case of N*, up to seven resonances with similar masses and widths have been identified including the occurrence of interference effects among them <ce:cross-refs refid="br0020 br0140" id="crs0050">[2,14]</ce:cross-refs>. In this context, the simultaneous measurement of Λ and Σ hyperons becomes important to understand the interplay between the spin 1/2 and 3/2 states occurring in the strong conversion process <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si21.gif"><mml:mi mathvariant="normal">Σ</mml:mi><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>+</mml:mo><mml:mi>N</mml:mi></mml:math>. This process manifests itself as a peak structure on top of the smooth <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si22.gif"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo>+</mml:mo><mml:mi>p</mml:mi></mml:math> invariant-mass distribution close to the Σ–<ce:italic>N</ce:italic> threshold and is known to be responsible for cusp effects <ce:cross-ref refid="br0150" id="crf1340">[15]</ce:cross-ref>. Hyperon production in nuclear reactions gives also access to details of the hyperon–nucleon interaction. The existence of Λ hypernuclei is argued as evidence for an attractive potential at rather large inter-baryon distances <ce:cross-refs refid="br0160 br0170" id="crs0060">[16,17]</ce:cross-refs>. Theoretical models <ce:cross-ref refid="br0180" id="crf1350">[18]</ce:cross-ref> trying to describe scattering data <ce:cross-refs refid="br0190 br0200" id="crs0070">[19,20]</ce:cross-refs> with hyperon beams postulate the presence of a repulsive core for the Λ–<ce:italic>N</ce:italic> interaction. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> hypernuclei, on the other hand, have not been observed so far due to difficulties implied by the electromagnetic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> decays and the requirement of large acceptance and high resolution electromagnetic calorimeters. Since also scattering data for Σ hyperon beams are scarce, constraints on the Σ–N interaction are missing so far and new measurements of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production in nuclear targets are essential.</ce:para><ce:para id="pr0030">Medium-energy heavy-ion collisions producing hyperons allow to study their properties within a dense baryonic environment (up to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.gif"><mml:mi>ρ</mml:mi><mml:mo>≈</mml:mo><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>) <ce:cross-refs refid="br0210 br0220 br0230 br0240" id="crs0080">[21–24]</ce:cross-refs>. One question of interest is whether the attractive Λ–N interaction in vacuum or at nuclear saturation might change due to the postulated appearance of a more dominant repulsive core at increased densities and short distances <ce:cross-ref refid="br0250" id="crf1360">[25]</ce:cross-ref>. The quest for detailed information on such aspects requires the knowledge of Λ feed down effects from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production and its corresponding behaviour in baryonic or even cold nuclear matter.</ce:para><ce:para id="pr0040">Experimental data for simultaneous <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> and Λ production are available for proton–proton collisions either close to the free NN production threshold (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si24.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">E</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.518</mml:mn></mml:math> GeV for Λ and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si25.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">E</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.623</mml:mn></mml:math> GeV for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>) <ce:cross-refs refid="br0040 br0050" id="crs0090">[4,5]</ce:cross-refs> or at excess energies of ≃5 GeV and above <ce:cross-ref refid="br0260" id="crf1370">[26]</ce:cross-ref>. So far, no data are available for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> hyperons emerging from proton + nucleus collision systems at few GeV incident beam energy. In this work we present the first measurement of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production in p + Nb collisions at an incident kinetic beam energy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si26.gif"><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3.5</mml:mn></mml:math> GeV. Our paper is organised as follows. In section <ce:cross-ref refid="se0020" id="crf1510">2</ce:cross-ref>, we describe the experimental set-up. Section <ce:cross-ref refid="se0030" id="crf1680">3</ce:cross-ref> is devoted to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> identification and background subtraction. In section <ce:cross-ref refid="se0040" id="crf1690">4</ce:cross-ref> the method for efficiency correction and differential analysis is shown. In section <ce:cross-ref refid="se0060" id="crf1700">6</ce:cross-ref> the extracted cross sections and yields are compared to different models. In sections <ce:cross-ref refid="se0060" id="crf1710">6</ce:cross-ref> we give a summary and short outlook.</ce:para></ce:section><ce:section id="se0020"><ce:label>2</ce:label><ce:section-title id="st0040">The HADES experiment</ce:section-title><ce:para id="pr0050">The High-Acceptance Di-Electron Spectrometer (HADES) <ce:cross-ref refid="br0270" id="crf1380">[27]</ce:cross-ref> located at the GSI Helmholtzzentrum für Schwerionenforschung in Darmstadt (Germany) is an experimental facility for fixed target nuclear reaction studies in the few GeV energy region. The spectrometer is dedicated to measure low-mass dielectrons originating from the decay of vector mesons in the invariant-mass range up to the <ce:italic>ϕ</ce:italic> mass and offers excellent identification by means of charged hadrons such as pions, kaons and protons. The detector setup covers polar angles between 18° to 85° over almost the full azimuthal range designed to match the mid-rapidity region of symmetric heavy ion collisions at E = 1–2 AGeV. A set of multi-wire drift chamber (MDC) planes arranged in a sixfold segmented trapezoidal type structure, two layers in front and two behind a toroidal magnetic field, is used for charged-particle tracking and momentum reconstruction with a typical resolution of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si27.gif"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="normal">p</mml:mi><mml:mo>≃</mml:mo><mml:mn>3</mml:mn><mml:mtext>%</mml:mtext></mml:math>. An electromagnetic shower detector (Pre-Shower) and a Time-Of-Flight scintillator wall (TOF and TOFINO) build the Multiplicity and Electron Trigger Array (META) detector system used for event trigger purposes. The energy loss (dE/dx) signals measured in the TOF and MDC detectors are used for charged particle identification. In addition, electrons and positrons are identified over a large range of momenta with a Ring Imaging Cherenkov (RICH) detector surrounding the target in a nearly field-free region.</ce:para><ce:para id="pr0060">In the present experiment, a proton beam accelerated by the SIS18 synchrotron to a kinetic energy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si28.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">E</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3.5</mml:mn></mml:math> GeV has been directed on a twelve-fold segmented <ce:sup>93</ce:sup>Nb target of 2.8% nuclear interaction probability. For a TOF+TOFINO reaction trigger setting of multiplicity <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si29.gif"><mml:mi mathvariant="normal">M</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:math> and at typical beam intensities of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si30.gif"><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:math> particles/s on target, a total of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si31.gif"><mml:mn>3.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msup></mml:math> events have been recorded and analysed.</ce:para></ce:section><ce:section id="se0030"><ce:label>3</ce:label><ce:section-title id="st0050"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> identification and background subtraction</ce:section-title><ce:para id="pr0070">The identification of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> hyperons was achieved via the decay channel <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>γ</mml:mi></mml:math> (BR ≈ 100% <ce:cross-ref refid="br0280" id="crf1390">[28]</ce:cross-ref>) by reconstructing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> decays correlated with the emission of a dielectron from external pair conversion <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si32.gif"><mml:mi>γ</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> or from the Dalitz decay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si17.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi mathvariant="normal">Λ</mml:mi><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si33.gif"><mml:mrow><mml:mi mathvariant="normal">BR</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>5</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> <ce:cross-ref refid="br0280" id="crf1400">[28]</ce:cross-ref>). <ce:cross-ref refid="fg0010" id="crf1720">Fig. 1</ce:cross-ref><ce:float-anchor refid="fg0010"/> depicts the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si16.gif"><mml:mi mathvariant="normal">p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> invariant-mass distribution of such events with a clear signature of a Λ content in the data sample. Due to the low mass difference <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si34.gif"><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>77</mml:mn></mml:math> MeV/c<ce:sup>2</ce:sup> a considerable fraction of coincident <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si35.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:math> candidates have momenta below the spectrometer acceptance threshold <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si36.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>50</mml:mn></mml:math> MeV/c needed for full track and momentum reconstruction. For this reason, dielectrons have been identified by requiring two RICH rings, at least one fully reconstructed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si35.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:math> track and one neighbouring incomplete tracklet detected in front of the magnetic field in the first two MDCs. The missing momentum of the incomplete tracklet has been estimated by applying a most probable hypothesis as described in detail in <ce:cross-ref refid="br0290" id="crf1420">[29]</ce:cross-ref> which partly exploits results and constraints from kinematically similar <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si37.gif"><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> Dalitz decays. In this way, the observed incomplete dielectrons are combined into most probable photon signals with a resolution of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si38.gif"><mml:mi>δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">E</mml:mi></mml:mrow><mml:mrow><mml:mi>γ</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi mathvariant="normal">FWHM</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>57</mml:mn><mml:mo>±</mml:mo><mml:mn>2</mml:mn></mml:math> MeV <ce:cross-ref refid="br0290" id="crf1430">[29]</ce:cross-ref>.</ce:para><ce:para id="pr0080">The combinatorial background has been determined with two approaches. First, background yield and shape have been estimated from polynomial fits of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si16.gif"><mml:mi mathvariant="normal">p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> invariant mass in the sideband regions below and above the Λ peak, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si39.gif"><mml:mn>1090</mml:mn><mml:mspace width="0.25em"/><mml:mtext>MeV</mml:mtext><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>&lt;</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">inv</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msubsup><mml:mo>&lt;</mml:mo><mml:mn>1105</mml:mn><mml:mspace width="0.25em"/><mml:mtext>MeV</mml:mtext><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si40.gif"><mml:mn>1125</mml:mn><mml:mspace width="0.25em"/><mml:mtext>MeV</mml:mtext><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>&lt;</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">inv</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msubsup><mml:mo>&lt;</mml:mo><mml:mn>1140</mml:mn><mml:mspace width="0.25em"/><mml:mtext>MeV</mml:mtext><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> (see <ce:cross-ref refid="fg0010" id="crf1440">Fig. 1</ce:cross-ref>). The second approach aimed at the suppression of a random peak structure. The momentum of the proton and pion was smeared by 2% such that the resulting invariant mass of proton and pion did not show any Λ peak. The obtained distribution was scaled to the sideband of the unsmeared distribution shown in <ce:cross-ref refid="fg0010" id="crf1450">Fig. 1</ce:cross-ref> to evaluate the background in the signal region. After weighting and normalisation, both methods lead to the same background yield within 10%. The side band samples used to construct the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si16.gif"><mml:mi mathvariant="normal">p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> background are combined with the reconstructed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si35.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:math> pairs to obtain the background to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> candidates (for details see <ce:cross-ref refid="br0290" id="crf1460">[29]</ce:cross-ref>).</ce:para><ce:para id="pr0090">The inclusive four-particle <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si41.gif"><mml:mi mathvariant="normal">p</mml:mi><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:math> invariant mass distribution is shown in the inset of <ce:cross-ref refid="fg0010" id="crf1470">Fig. 1</ce:cross-ref>. A peak structure becomes apparent at the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> pole mass with a width (FWHM) of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si42.gif"><mml:mn>52</mml:mn><mml:mo>±</mml:mo><mml:mn>22</mml:mn></mml:math> MeV/c<ce:sup>2</ce:sup>. The observed FWHM is mainly attributed to the resolution of the <ce:italic>γ</ce:italic> reconstruction. The estimated background is shown by the red histogram.</ce:para><ce:para id="pr0100">Full scale UrQMD <ce:cross-refs refid="br0300 br0310" id="crs0100">[30,31]</ce:cross-refs> simulations have been carried out and processed through Geant and a digitisation procedure to emulate the detector response. Subsequently the events have then been analysed in the same manner as the experimental data. Then the simulation has been normalised to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> yield. The inset in <ce:cross-ref refid="fg0010" id="crf1480">Fig. 1</ce:cross-ref> shows that the simulated <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> mass distribution is in agreement with the measured distribution. A total of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si43.gif"><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>224</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mn>24</mml:mn></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mn>65</mml:mn></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> candidates has been extracted.</ce:para></ce:section><ce:section id="se0040"><ce:label>4</ce:label><ce:section-title id="st0060">Efficiency correction and differential analysis</ce:section-title><ce:para id="pr0110">After background subtraction, a differential analysis has been performed for the kinematic variables transverse momentum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si44.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math> and rapidity <ce:italic>y</ce:italic> of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> candidates. Due to the limited event statistics, the experimental yields are computed for three equally spaced momentum bins between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si45.gif"><mml:mn>240</mml:mn><mml:mspace width="0.25em"/><mml:mtext>MeV/c</mml:mtext><mml:mo>≤</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>≤</mml:mo><mml:mn>960</mml:mn><mml:mtext> MeV/c</mml:mtext></mml:math> split in two rapidity bins <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si46.gif"><mml:mn>0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.8</mml:mn></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si47.gif"><mml:mn>0.8</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1.1</mml:mn></mml:math>. The acceptance and efficiency correction matrix for this phase space region has been obtained from simulations utilizing the UrQMD/Geant3 data set (see above) before and after <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> reconstruction. The systematic errors of these corrections stem from various sources. The uncertainty on particle identification of protons and pions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si48.gif"><mml:mo>≃</mml:mo><mml:mn>5</mml:mn><mml:mtext>%</mml:mtext></mml:math> is adopted from the high statistics analysis of inclusive Λ production <ce:cross-ref refid="br0030" id="crf1490">[3]</ce:cross-ref>. The overall uncertainty for identification of low momentum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si49.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math>/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si50.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> partners and pair reconstruction with two complete tracks is <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si51.gif"><mml:mo>≃</mml:mo><mml:mn>25</mml:mn><mml:mtext>%</mml:mtext></mml:math> as deduced in a previous search for dark photons with hypothetical masses in the interval ≃ 50–100 MeV <ce:cross-ref refid="br0320" id="crf1500">[32]</ce:cross-ref>. The error in the background subtraction is estimated from a comparison of the two methods described above and contributes with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si52.gif"><mml:mo>≃</mml:mo><mml:mn>8</mml:mn><mml:mtext>%</mml:mtext></mml:math>. Other sources are of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si53.gif"><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> and less. The quadratic sum results in a total systematic error of ≈ 30%. The statistical errors did not exceed values of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si54.gif"><mml:mo>≃</mml:mo><mml:mn>10</mml:mn><mml:mtext>–</mml:mtext><mml:mn>30</mml:mn><mml:mtext>%</mml:mtext></mml:math>.</ce:para><ce:para id="pr0120">The corrected reduced transverse-mass spectra (with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si55.gif"><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msubsup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:msqrt></mml:math>) for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> candidates are shown in <ce:cross-ref refid="fg0020" id="crf1730">Fig. 2</ce:cross-ref><ce:float-anchor refid="fg0020"/> separately for both rapidity intervals. Towards smaller transverse momenta, the geometrical spectrometer acceptance does not cover the full region for at least one of the decay partners Λ or <ce:italic>γ</ce:italic>. To extrapolate to uncovered phase space regions we have assumed a thermal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> phase space production. Hence, the differential distributions have been fitted with a Maxwell–Boltzmann distribution <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si56.gif"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>N</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>d</mml:mi><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mi>d</mml:mi><mml:mi>y</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mo>⁡</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mo>−</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:msup><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>, where <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si57.gif"><mml:mi>A</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> is a rapidity dependent scaling factor and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si58.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1192.642</mml:mn><mml:mo>±</mml:mo><mml:mn>0.024</mml:mn></mml:math> MeV/c<ce:sup>2</ce:sup> <ce:cross-ref refid="br0280" id="crf1520">[28]</ce:cross-ref>. The inverse-slope parameters <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si59.gif"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>82</mml:mn><mml:mo>±</mml:mo><mml:mn>23</mml:mn></mml:math> MeV for the rapidity bin <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si60.gif"><mml:mn>0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0.8</mml:mn></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si61.gif"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>78</mml:mn><mml:mo>±</mml:mo><mml:mn>22</mml:mn></mml:math> MeV for the more forward region <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si62.gif"><mml:mn>0.8</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1.1</mml:mn></mml:math> can be compared with the average value of 84 MeV extracted for Λ hyperons in the same reaction <ce:cross-ref refid="br0030" id="crf1530">[3]</ce:cross-ref>.</ce:para><ce:para id="pr0130">The experimental rapidity–density distributions dN/dy obtained for both hyperons from integration of the corresponding Maxwell–Boltzmann distributions with the given parameters are depicted in the upper panel of <ce:cross-ref refid="fg0030" id="crf1540">Fig. 3</ce:cross-ref><ce:float-anchor refid="fg0030"/>. The calculation of minimum-bias multiplicities requires normalisation of the observed yields to the total number of reactions which we obtained by multiplying the number of M3 triggers (charged particle multiplicity <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si63.gif"><mml:mo>≥</mml:mo><mml:mspace width="0.2em"/><mml:mn>3</mml:mn></mml:math>) with a correction factor C. The latter has been extracted from a UrQMD simulation of the p+Nb reaction with impact parameters in the range 0–8 fm and full Geant3 propagation of the events yielding <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si64.gif"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>g</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mn>3</mml:mn><mml:mo stretchy="false">→</mml:mo><mml:mi>M</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si65.gif"><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>g</mml:mi><mml:mi>g</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mn>3</mml:mn><mml:mo stretchy="false">→</mml:mo><mml:mi>M</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>0.58</mml:mn><mml:mo>±</mml:mo><mml:mn>0.06</mml:mn></mml:math>. Summation over both rapidity bins in <ce:cross-ref refid="fg0030" id="crf1550">Fig. 3</ce:cross-ref> gives the multiplicity inside the acceptance <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si66.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2.7</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.7</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext>/evt.</mml:mtext></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si67.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>6.1</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.3</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.3</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.8</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext>/evt</mml:mtext></mml:math>. Note that the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si68.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:math> signal includes the feed down from heavier resonances, mainly from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> decays. The production ratio inside the acceptance <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si69.gif"><mml:mn>0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1.1</mml:mn></mml:math> is found to be <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si70.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn>2.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.6</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup></mml:math>.</ce:para></ce:section><ce:section id="se0050"><ce:label>5</ce:label><ce:section-title id="st0070">Cross sections and comparison to models</ce:section-title><ce:para id="pr0140">The production cross section has then been obtained by multiplying the multiplicity with the total interaction cross section <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si71.gif"><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>N</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>848</mml:mn><mml:mo>±</mml:mo><mml:mn>126</mml:mn></mml:math> mb for the p + Nb reaction <ce:cross-refs refid="br0330 br0340" id="crs0110">[33,34]</ce:cross-refs> and correcting it for the trigger bias. The acceptance integrated cross section <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si72.gif"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math> which can be obtained from the experimental count rates by multiplication with the luminosity is found to be equal to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si73.gif"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msub><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.6</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math> mb within the rapidity interval <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si8.gif"><mml:mn>0.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>y</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1.1</mml:mn></mml:math>.</ce:para><ce:para id="pr0150">Extrapolation to the uncovered rapidity region and extraction of an estimate for the total production cross section have been deduced with the help of transport model calculations. We have extracted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> rapidity distributions from UrQMD <ce:cross-ref refid="br0300" id="crf1560">[30]</ce:cross-ref> and GiBUU <ce:cross-refs refid="br0350 br0360" id="crs0120">[35,36]</ce:cross-refs> event generators and normalised them to match the experimental data points. The distributions are plotted in <ce:cross-ref refid="fg0030" id="crf1570">Fig. 3</ce:cross-ref> and exhibit considerable differences. Those possibly indicate different weights in the models for the implementation of the slowing down of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> which are initially produced at the rapidity of the NN centre-of-mass system. While the data are well reproduced by UrQMD in the region above <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si74.gif"><mml:mi>y</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0.4</mml:mn></mml:math>, the extrapolation to target rapidities seems to be ambiguous. Under the assumption that both hyperons experience comparable emission kinematics due to their very similar masses we can profit from the larger rapidity coverage and smaller bin sizes of the reconstructed Λ. Hence, as an alternative guidance we have used the measured Λ rapidity density distribution (Λ-like) as published in <ce:cross-ref refid="br0030" id="crf1580">[3]</ce:cross-ref> and normalised it to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> distribution. For comparison, the resulting total <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> yields and extrapolated production cross sections of the scaled distributions are listed in <ce:cross-ref refid="tbl0010" id="crf1590">Table 1</ce:cross-ref><ce:float-anchor refid="tbl0010"/>.</ce:para><ce:para id="pr0160">The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production cross section has finally been calculated from a mean of the Λ-like and UrQMD rapidity distributions resulting in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si76.gif"><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>5.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>1.4</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>1.4</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.6</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1.7</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msup></mml:math> mb. A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> yield of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si77.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>7</mml:mn><mml:mo>±</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext>/evt</mml:mtext></mml:math> for the full phase space has been extracted in the same way. The ratio <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si78.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn>2.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow/><mml:mrow><mml:mo>−</mml:mo><mml:mn>0.7</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0.7</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msup></mml:math> has been obtained by using the ratio within the acceptance and an additional extrapolation uncertainty stemming from the difference between UrQMD and Λ-like extrapolation methods. This can be justified by the rather flat distribution of experimental data as well as for the UrQMD and GiBUU simulations. The error on the extrapolation procedure introduces the largest uncertainty. The statistical and systematic errors have been added quadratically. <ce:cross-ref refid="fg0040" id="crf1600">Fig. 4</ce:cross-ref><ce:float-anchor refid="fg0040"/> shows our result for the total number (i.e., full phase space extrapolated) of Λs not stemming from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> decays (that is the number of identified Λs minus the number of Λs identified as decay products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>s) divided by the number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>s, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si79.gif"><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>1.3</mml:mn><mml:mspace width="0.2em"/><mml:mo>±</mml:mo><mml:mspace width="0.2em"/><mml:mn>0.6</mml:mn></mml:math>, together with a compilation of the world data <ce:cross-refs refid="br0040 br0050 br0060 br0260 br0370" id="crs0130">[4–6,26,37]</ce:cross-refs> and a data fit <ce:cross-ref refid="br0370" id="crf1610">[37]</ce:cross-ref> plotted as a function of excess energy above the nucleon–nucleon threshold. The results from UrQMD are shown for comparison. All data points but two stem from proton–proton collisions. Our result for the production in a heavy nucleus (heavy bullet in <ce:cross-ref refid="fg0040" id="crf1620">Fig. 4</ce:cross-ref>) fits well to the systematics and model predictions. In this comparison, the multi-step interaction of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> with one, two or even more nucleons has been neglected as well as the Fermi motion.</ce:para><ce:para id="pr0170">We now compare our findings to the statistical model THERMUS <ce:cross-ref refid="br0380" id="crf1630">[38]</ce:cross-ref>. In this model, the total particle abundances strictly follow a distribution expected from hadron freeze-out at conditions determined by a temperature <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si80.gif"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math> and a baryochemical potential <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si81.gif"><mml:msub><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math>. For this scenario, particle yields are proportional to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si82.gif"><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>E</mml:mi><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:math>. A THERMUS fit to measured particle yields <ce:cross-ref refid="br0390" id="crf1640">[39]</ce:cross-ref>, excluding the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>, gives parameter values <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si83.gif"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>100</mml:mn></mml:math> MeV and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si84.gif"><mml:msub><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>.</mml:mo><mml:mi>o</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>620</mml:mn></mml:math> MeV. For these parameters (see legend in <ce:cross-ref refid="fg0050" id="crf1650">Fig. 5</ce:cross-ref><ce:float-anchor refid="fg0050"/>), the expected <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> yield slightly underestimates (1.5 <ce:italic>σ</ce:italic>) the inclusive experimental value presented in this work. <ce:cross-ref refid="fg0050" id="crf1660">Fig. 5</ce:cross-ref> shows the corresponding THERMUS fit results. The THERMUS yield ratio <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si85.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn>3.9</mml:mn></mml:math> is slightly higher than that predicted by GiBUU, UrQMD (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si86.gif"><mml:mi mathvariant="normal">R</mml:mi><mml:mo>≃</mml:mo><mml:mn>3</mml:mn></mml:math>) and our measurement (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si87.gif"><mml:mi mathvariant="normal">R</mml:mi><mml:mo>≃</mml:mo><mml:mn>2.3</mml:mn></mml:math>). Nevertheless, the overall agreement is surprising for proton induced nuclear collisions at relatively low energies, as already discussed in <ce:cross-ref refid="br0390" id="crf1670">[39]</ce:cross-ref>.</ce:para></ce:section><ce:section id="se0060"><ce:label>6</ce:label><ce:section-title id="st0080">Summary and outlook</ce:section-title><ce:para id="pr0180">We have demonstrated the capability of HADES to reconstruct the low energy <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si32.gif"><mml:mi>γ</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> conversion processes in the detector material via the identification of electrons and positrons. With this technique we were able to measure for the first time <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> hyperon production in proton-induced reactions off a heavy nucleus near threshold. We provide transverse mass distributions in two rapidity bins. Based on them, a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> production cross section of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si88.gif"><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>5.8</mml:mn><mml:mspace width="0.25em"/><mml:mo>±</mml:mo><mml:mspace width="0.25em"/><mml:mn>2.3</mml:mn></mml:math> mb has been determined. The inclusive light hyperon production ratio is <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si89.gif"><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>/</mml:mtext><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn>2.3</mml:mn><mml:mspace width="0.2em"/><mml:mo>±</mml:mo><mml:mspace width="0.2em"/><mml:mn>1.1</mml:mn></mml:math>. All uncertainties have been summed up quadratically. These experimental values compare reasonably well with transport model calculations and results from a statistical hadronisation scheme. In spite of the limited spectrometer acceptance the obtained relative production cross sections may hint to a slightly larger production probability in nuclei as compared to expectations from proton–proton collisions, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si90.gif"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:mfrac><mml:msub><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>A</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:mfrac><mml:msub><mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>. A possible measurement with a low magnetic field will allow full reconstruction of the dielectrons and therefore offer the possibility to determine electromagnetic transition formfactors. The currently ongoing upgrade includes an electromagnetic calorimeter which will significantly enhance the <ce:italic>γ</ce:italic> detection capabilities of HADES. Measurements able to separate the contribution of p–p and p–n reactions are planned, which go beyond the average values extracted now from proton-nucleus collisions. This opens up the investigation of reaction channels involving photon decays of hyperons and other baryonic resonances produced in proton/pion–proton, proton/pion-nucleus and heavy-ion collisions and might even give access to measurements of electromagnetic transition form factors for these resonances.</ce:para></ce:section></ce:sections><ce:acknowledgment id="ac0010"><ce:section-title id="st0090">Acknowledgements</ce:section-title><ce:para id="pr0190">The HADES collaboration gratefully acknowledges the support by the grants <ce:grant-number refid="gsp0010">VH-NG-823</ce:grant-number>, <ce:grant-sponsor id="gsp0010" sponsor-id="https://doi.org/10.13039/501100005714">TU Darmstadt</ce:grant-sponsor> (Germany); <ce:grant-number refid="gsp0020">BMBF05P15WOFCA</ce:grant-number>, <ce:grant-number refid="gsp0020">DFG EClust 153</ce:grant-number>, MLL, <ce:grant-sponsor id="gsp0020">TU München</ce:grant-sponsor> (Germany); <ce:grant-number refid="gsp0030">BMBF05P12RGGHM</ce:grant-number>, <ce:grant-sponsor id="gsp0030">JLU Giessen</ce:grant-sponsor> (Germany); <ce:grant-sponsor id="gsp0040">CNRS/IN2P3, IPN Orsay</ce:grant-sponsor> (France); <ce:grant-number refid="gsp0050">GACR13-06759S</ce:grant-number>, <ce:grant-sponsor id="gsp0050">MSMT LM2015049</ce:grant-sponsor>, Rez (Czech Republic); <ce:grant-number refid="gsp0060">BMBF05P15PXFCA</ce:grant-number>, <ce:grant-number refid="gsp0060">GSI WKAMPE1416</ce:grant-number>, <ce:grant-sponsor id="gsp0060">BU Wuppertal</ce:grant-sponsor> (Germany); <ce:grant-sponsor id="gsp0070" sponsor-id="https://doi.org/10.13039/501100004281">NCN</ce:grant-sponsor> <ce:grant-number refid="gsp0070">2013/10/M/ST2/00042</ce:grant-number> (Poland); <ce:grant-sponsor id="gsp0080">NSC</ce:grant-sponsor> <ce:grant-number refid="gsp0080">2016/23/P/ST2/04066</ce:grant-number> POLONEZ (Poland).</ce:para></ce:acknowledgment></body><tail><ce:bibliography id="bl0010"><ce:section-title id="st0100">References</ce:section-title><ce:bibliography-sec id="bs0010"><ce:bib-reference id="br0010"><ce:label>[1]</ce:label><sb:reference id="bib4164616D637A6577736B692D4D757363683A32303136767263s1"><sb:contribution><sb:authors><sb:author><ce:given-name>J.</ce:given-name><ce:surname>Adamczewski-Musch</ce:surname></sb:author><sb:et-al/></sb:authors><sb:title><sb:maintitle>Inclusive Λ production in proton–proton collisions at 3.5 GeV</sb:maintitle></sb:title></sb:contribution><sb:host><sb:issue><sb:series><sb:title><sb:maintitle>Phys. 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