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      <PublisherName>Springer Berlin Heidelberg</PublisherName>
      <PublisherLocation>Berlin/Heidelberg</PublisherLocation>
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      <JournalInfo JournalProductType="NonStandardArchiveJournal" NumberingStyle="ContentOnly">
         <JournalID>10052</JournalID>
         <JournalDOI>10.1007/10052.1434-6052</JournalDOI>
         <JournalPrintISSN>1434-6044</JournalPrintISSN>
         <JournalElectronicISSN>1434-6052</JournalElectronicISSN>
         <JournalSPIN>30312819</JournalSPIN>
         <JournalTitle>The European Physical Journal C</JournalTitle>
         <JournalSubTitle>Particles and Fields</JournalSubTitle>
         <JournalAbbreviatedTitle>Eur. Phys. J. C</JournalAbbreviatedTitle>
         <JournalSubjectGroup>
            <JournalSubject Code="SCP" Type="Primary">Physics</JournalSubject>
            <JournalSubject Code="SCP23029" Priority="1" Type="Secondary">Elementary Particles, Quantum Field Theory</JournalSubject>
            <JournalSubject Code="SCP23010" Priority="2" Type="Secondary">Nuclear Physics, Heavy Ions, Hadrons</JournalSubject>
            <JournalSubject Code="SCP19048" Priority="3" Type="Secondary">Quantum Field Theories, String Theory</JournalSubject>
            <JournalSubject Code="SCP31040" Priority="4" Type="Secondary">Measurement Science and Instrumentation</JournalSubject>
            <JournalSubject Code="SCP22006" Priority="5" Type="Secondary">Astronomy, Astrophysics and Cosmology</JournalSubject>
            <JournalSubject Code="SC113000" Priority="6" Type="Secondary">Nuclear Energy</JournalSubject>
            <SubjectCollection Code="SC12">Physics and Astronomy</SubjectCollection>
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            <VolumeIDStart>78</VolumeIDStart>
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            <VolumeIssueCount>12</VolumeIssueCount>
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               <IssueIDStart>6</IssueIDStart>
               <IssueIDEnd>6</IssueIDEnd>
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               <IssueHistory>
                  <CoverDate>
                     <Year>2018</Year>
                     <Month>6</Month>
                  </CoverDate>
                  <PricelistYear>2018</PricelistYear>
               </IssueHistory>
               <IssueCopyright>
                  <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                  <CopyrightYear>2018</CopyrightYear>
               </IssueCopyright>
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            <Article ID="s10052-018-5958-y" OutputMedium="All">
               <ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En" NumberingStyle="ContentOnly" TocLevels="3">
                  <ArticleID>5958</ArticleID>
                  <ArticleExternalID Type="arXiv">1802.09010v1</ArticleExternalID>
                  <ArticleDOI>10.1140/epjc/s10052-018-5958-y</ArticleDOI>
                  <ArticleCitationID>463</ArticleCitationID>
                  <ArticleSequenceNumber>32</ArticleSequenceNumber>
                  <ArticleTitle Language="En" OutputMedium="All">Branching ratios and <Emphasis Type="Italic">CP</Emphasis> asymmetries of <InlineEquation ID="IEq1"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$B\rightarrow \chi _{c1}K(\pi ) $$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                  ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">B</mi><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">→</mo><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">χ</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">c</mi><mn xmlns:xlink="http://www.w3.org/1999/xlink">1</mn></mrow></msub><mi xmlns:xlink="http://www.w3.org/1999/xlink">K</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">(</mo><mi xmlns:xlink="http://www.w3.org/1999/xlink">π</mi><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">)</mo></mrow></mrow></math><![CDATA[
                ]]></EquationSource></InlineEquation> decays</ArticleTitle>
                  <ArticleCategory>Regular Article - Theoretical Physics</ArticleCategory>
                  <ArticleFirstPage>1</ArticleFirstPage>
                  <ArticleLastPage>8</ArticleLastPage>
                  <ArticleHistory>
                     <RegistrationDate>
                        <Year>2018</Year>
                        <Month>6</Month>
                        <Day>2</Day>
                     </RegistrationDate>
                     <Received>
                        <Year>2018</Year>
                        <Month>3</Month>
                        <Day>5</Day>
                     </Received>
                     <Accepted>
                        <Year>2018</Year>
                        <Month>5</Month>
                        <Day>31</Day>
                     </Accepted>
                     <OnlineDate>
                        <Year>2018</Year>
                        <Month>6</Month>
                        <Day>7</Day>
                     </OnlineDate>
                  </ArticleHistory>
                  <ArticleFundingInformation>
                     <Fund>
                        <FunderName>Training Foundation of North China University of Science and Technology</FunderName>
                        <GrantNumber Type="FundRef">GP201520</GrantNumber>
                        <GrantNumber Type="FundRef">JP201512</GrantNumber>
                     </Fund>
                     <Fund>
                        <FunderName>Program for the Top Young Innovative Talents of Higher Learning Institutions of Hebei Educational Committee</FunderName>
                        <GrantNumber Type="FundRef">BJ2016041</GrantNumber>
                     </Fund>
                     <Fund>
                        <FunderName FundRefID="https://doi.org/10.13039/501100001809">National Natural Science Foundation of China</FunderName>
                        <GrantNumber Type="FundRef">11547020</GrantNumber>
                        <GrantNumber Type="FundRef">11605060</GrantNumber>
                     </Fund>
                  </ArticleFundingInformation>
                  <ArticleCopyright>
                     <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                     <CopyrightYear>2018</CopyrightYear>
                     <License SubType="CC BY" Type="OpenAccess" Version="4.0">
                        <SimplePara>
                           <Emphasis Type="Bold">Open Access</Emphasis>This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (<ExternalRef><RefSource>http://creativecommons.org/licenses/by/4.0</RefSource><RefTarget Address="http://creativecommons.org/licenses/by/4.0" TargetType="URL" /></ExternalRef>/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</SimplePara>
                        <SimplePara>Funded by SCOAP<Superscript>3</Superscript>
                        </SimplePara>
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               <ArticleHeader>
                  <AuthorGroup>
                     <Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1" ID="Au1">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Zhou</GivenName>
                           <FamilyName>Rui</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>jindui1127@126.com</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff1" ID="Au2">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Qiang</GivenName>
                           <FamilyName>Zhao</FamilyName>
                        </AuthorName>
                     </Author>
                     <Author AffiliationIDS="Aff2" ID="Au3">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Li-li</GivenName>
                           <FamilyName>Zhang</FamilyName>
                        </AuthorName>
                     </Author>
                     <Affiliation ID="Aff1">
                        <OrgID Level="Institution" Type="ISNI">0000 0001 0707 0296</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.440734.0</OrgID>
                        <OrgDivision>College of Sciences</OrgDivision>
                        <OrgName>North China University of Science and Technology</OrgName>
                        <OrgAddress>
                           <City>Tangshan</City>
                           <Postcode>063009</Postcode>
                           <Country Code="CN">China</Country>
                        </OrgAddress>
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                        <OrgID Level="Institution" Type="ISNI">0000 0001 0707 0296</OrgID>
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                        <OrgDivision>Center for Publishing</OrgDivision>
                        <OrgName>North China University of Science and Technology</OrgName>
                        <OrgAddress>
                           <City>Tangshan</City>
                           <Postcode>063009</Postcode>
                           <Country Code="CN">China</Country>
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                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">We investigate the exclusive nonleptonic decays <InlineEquation ID="IEq3"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq3.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$B\rightarrow \chi _{c1}K(\pi )$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">B</mi><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">→</mo><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">χ</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">c</mi><mn xmlns:xlink="http://www.w3.org/1999/xlink">1</mn></mrow></msub><mi xmlns:xlink="http://www.w3.org/1999/xlink">K</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">(</mo><mi xmlns:xlink="http://www.w3.org/1999/xlink">π</mi><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">)</mo></mrow></mrow></math><![CDATA[
                  ]]></EquationSource></InlineEquation> in the conventional perturbative QCD (PQCD) formalism. The predictions of branching ratios and <Emphasis Type="Italic">CP</Emphasis> asymmetries are given in detail. We compare our results with available experimental data as well as predictions of other theoretical studies existing in the literature. It seems that the branching ratios of <InlineEquation ID="IEq4"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq4.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$B\rightarrow \chi _{c1} K$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">B</mi><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">→</mo><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">χ</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">c</mi><mn xmlns:xlink="http://www.w3.org/1999/xlink">1</mn></mrow></msub><mi xmlns:xlink="http://www.w3.org/1999/xlink">K</mi></mrow></math><![CDATA[
                  ]]></EquationSource></InlineEquation> are more consistent with data than the earlier analyses. For the Cabibbo-suppressed <InlineEquation ID="IEq5"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq5.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$B_s$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">B</mi><mi xmlns:xlink="http://www.w3.org/1999/xlink">s</mi></msub></math><![CDATA[
                  ]]></EquationSource></InlineEquation> decays, the branching ratios can reach the order of <InlineEquation ID="IEq6"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq6.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$10^{-5}$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><msup xmlns:xlink="http://www.w3.org/1999/xlink"><mn xmlns:xlink="http://www.w3.org/1999/xlink">10</mn><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mo xmlns:xlink="http://www.w3.org/1999/xlink">-</mo><mn xmlns:xlink="http://www.w3.org/1999/xlink">5</mn></mrow></msup></math><![CDATA[
                  ]]></EquationSource></InlineEquation>, which would be straight forward for experimental observations. The numerical results show that the direct <Emphasis Type="Italic">CP</Emphasis> asymmetries of the concerned decays are rather small. The mixing-induced <Emphasis Type="Italic">CP</Emphasis> asymmetry in the <InlineEquation ID="IEq7"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq7.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$B^0\rightarrow \chi _{c1}K_S$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><msup xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">B</mi><mn xmlns:xlink="http://www.w3.org/1999/xlink">0</mn></msup><mo stretchy="false" xmlns:xlink="http://www.w3.org/1999/xlink">→</mo><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">χ</mi><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">c</mi><mn xmlns:xlink="http://www.w3.org/1999/xlink">1</mn></mrow></msub><msub xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">K</mi><mi xmlns:xlink="http://www.w3.org/1999/xlink">S</mi></msub></mrow></math><![CDATA[
                  ]]></EquationSource></InlineEquation> is very close to <InlineEquation ID="IEq8"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq8.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$ \sin {2\beta }$$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mo xmlns:xlink="http://www.w3.org/1999/xlink">sin</mo><mrow xmlns:xlink="http://www.w3.org/1999/xlink"><mn xmlns:xlink="http://www.w3.org/1999/xlink">2</mn><mi xmlns:xlink="http://www.w3.org/1999/xlink">β</mi></mrow></mrow></math><![CDATA[
                  ]]></EquationSource></InlineEquation>, which suggests that this channel offer an alternative method for measuring the Cabbibo–Kobayashi–Maskawa (CKM) angle <InlineEquation ID="IEq9"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="10052_2018_5958_Article_IEq9.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /></InlineMediaObject><EquationSource Format="TEX"><![CDATA[$$\beta $$]]></EquationSource><EquationSource Format="MATHML"><![CDATA[
                    ]]><math xmlns:xlink="http://www.w3.org/1999/xlink"><mi xmlns:xlink="http://www.w3.org/1999/xlink">β</mi></math><![CDATA[
                  ]]></EquationSource></InlineEquation>. The obtained results in the present work could be tested by further experiments in the LHCb and forthcoming Belle II.</Para>
                  </Abstract>
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