<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//ES//DTD journal article DTD version 5.7.0//EN//XML" "art570.dtd" [<!ENTITY gr1 SYSTEM "gr1" NDATA IMAGE><!ENTITY gr2 SYSTEM "gr2" NDATA IMAGE><!ENTITY gr3 SYSTEM "gr3" NDATA IMAGE><!ENTITY gr4 SYSTEM "gr4" NDATA IMAGE><!ENTITY mmc1 SYSTEM "mmc1" NDATA APPLICATION>]><article xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" 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" docsubtype="sco" xml:lang="en"><item-info><jid>PLB</jid><aid>140614</aid><ce:article-number>140614</ce:article-number><ce:pii>S0370-2693(26)00466-1</ce:pii><ce:doi>10.1016/j.physletb.2026.140614</ce:doi><ce:copyright type="other" year="2026">The Authors</ce:copyright></item-info><ce:floats><ce:figure id="fig0001"><ce:label>Fig. 1</ce:label><ce:caption id="cap0001"><ce:simple-para id="sp0001">Comparison of calculated and experimental <ce:cross-ref id="crf0001" refid="bib0055">[55]</ce:cross-ref> cross sections for the <mml:math altimg="si1.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>136</mml:mn></mml:msup><mml:mtext>Xe</mml:mtext><mml:msup><mml:mo>+</mml:mo><mml:mn>208</mml:mn></mml:msup></mml:mrow></mml:math>Pb reaction at <mml:math altimg="si2.svg"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>450</mml:mn><mml:mspace width="0.33em"/><mml:mtext>MeV</mml:mtext></mml:mrow></mml:math> ( ≃ 1.066 <ce:italic>V<ce:inf>B</ce:inf></ce:italic>). Experimental data (yellow circles) are compared with CLIM-H predictions for <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> (black dashed line) and <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> (red solid line) final cross sections.</ce:simple-para></ce:caption><ce:alt-text id="at0001" role="short">Fig. 1 dummy alt text</ce:alt-text><ce:link id="celink0001" locator="gr1" xlink:type="simple" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" xlink:href="pii:S0370269326004661/gr1"/></ce:figure><ce:figure id="fig0002"><ce:label>Fig. 2</ce:label><ce:caption id="cap0002"><ce:simple-para id="sp0002"><ce:italic>P</ce:italic><ce:inf>cum</ce:inf> (a, b) and primary cross section <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> (c, d) for <ce:sup>206</ce:sup>Hg (left panels) and <ce:sup>203</ce:sup>Ir (right panels) versus the scaling factor <ce:italic>a</ce:italic>, for collisions of <ce:sup>136</ce:sup>Xe with <ce:sup>208</ce:sup>Pb (black diamonds), <ce:sup>204</ce:sup>Hg (blue circles), and <ce:sup>208</ce:sup>Hg (red squares). The lines are guides to the eye.</ce:simple-para></ce:caption><ce:alt-text id="at0002" role="short">Fig. 2 dummy alt text</ce:alt-text><ce:link id="celink0002" locator="gr2" xlink:type="simple" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" xlink:href="pii:S0370269326004661/gr2"/></ce:figure><ce:figure id="fig0003"><ce:label>Fig. 3</ce:label><ce:caption id="cap0003"><ce:simple-para id="sp0003">Survival ratio <ce:italic>R</ce:italic> for <ce:sup>206</ce:sup>Hg (a) and <ce:sup>203</ce:sup>Ir (b) as a function of the scaling factor <ce:italic>a</ce:italic> for collisions of <ce:sup>136</ce:sup>Xe with <ce:sup>208</ce:sup>Pb (black diamonds), <ce:sup>204</ce:sup>Hg (blue circles), and <ce:sup>208</ce:sup>Hg (red squares). The horizontal dashed line at <mml:math altimg="si5.svg"><mml:mrow><mml:mi>R</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> serves as a visual reference. The lines are guides to the eye.</ce:simple-para></ce:caption><ce:alt-text id="at0003" role="short">Fig. 3 dummy alt text</ce:alt-text><ce:link id="celink0003" locator="gr3" xlink:type="simple" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" xlink:href="pii:S0370269326004661/gr3"/></ce:figure><ce:figure id="fig0004"><ce:label>Fig. 4</ce:label><ce:caption id="cap0004"><ce:simple-para id="sp0004">Predicted final cross sections for <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> isotones produced in <mml:math altimg="si7.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>204</mml:mn></mml:msup></mml:mrow></mml:math>Hg at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.45<ce:italic>V<ce:inf>B</ce:inf></ce:italic> (red solid line and circles, with open symbols indicating isotones with as-yet unknown ground-state properties), compared with experimental data for <mml:math altimg="si8.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>136</mml:mn></mml:msup><mml:mtext>Xe</mml:mtext><mml:msup><mml:mo>+</mml:mo><mml:mn>198</mml:mn></mml:msup></mml:mrow></mml:math>Pt at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.6<ce:italic>V<ce:inf>B</ce:inf></ce:italic> (green dashed line and diamonds) <ce:cross-ref id="crf0002" refid="bib0018">[18]</ce:cross-ref>. The lines are guides to the eye.</ce:simple-para></ce:caption><ce:alt-text id="at0004" role="short">Fig. 4 dummy alt text</ce:alt-text><ce:link id="celink0004" locator="gr4" xlink:type="simple" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/23.4" xlink:href="pii:S0370269326004661/gr4"/></ce:figure></ce:floats><head><ce:dochead id="dh1"><ce:textfn id="textfn0001">Letter</ce:textfn></ce:dochead><ce:title id="ct0001">Role of shell effects on producing neutron-rich nuclei in the <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> region via multinucleon transfer reactions</ce:title><ce:short-title id="stitle0010">Role of shell effects on producing neutron-rich nuclei in the <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> region via multinucleon transfer reactions</ce:short-title><ce:author-group id="aut0001"><ce:author id="au0001" author-id="S0370269326004661-b8e4550b3ba1e9e281e9990b6ac54775" orcid="0009-0003-4684-2588"><ce:given-name>F.C.</ce:given-name><ce:surname>Dai</ce:surname><ce:cross-ref id="crf0003" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author id="au0002" orcid="0000-0003-4507-8090" author-id="S0370269326004661-10815560444a6a8e021ef2ee5553235e"><ce:given-name>P.W.</ce:given-name><ce:surname>Wen</ce:surname><ce:cross-ref id="crf0004" refid="cor0001"><ce:sup>⁎</ce:sup></ce:cross-ref><ce:cross-ref id="crf0005" refid="aff0002"><ce:sup>b</ce:sup></ce:cross-ref><ce:e-address type="email" xlink:href="mailto:wenpeiwei@ciae.ac.cn" id="ead0001">wenpeiwei@ciae.ac.cn</ce:e-address></ce:author><ce:author id="au0003" orcid="0000-0002-3988-6756" author-id="S0370269326004661-4d289f32be0f7e728b6d47547eaafb75"><ce:given-name>C.J.</ce:given-name><ce:surname>Lin</ce:surname><ce:cross-ref id="crf0006" refid="cor0001"><ce:sup>⁎</ce:sup></ce:cross-ref><ce:cross-ref id="crf0007" refid="aff0002"><ce:sup>b</ce:sup></ce:cross-ref><ce:cross-ref id="crf0008" refid="aff0003"><ce:sup>c</ce:sup></ce:cross-ref><ce:e-address type="email" xlink:href="mailto:cjlin@ciae.ac.cn" id="ead0002">cjlin@ciae.ac.cn</ce:e-address></ce:author><ce:author id="au0004" orcid="0000-0001-8482-3554" author-id="S0370269326004661-c80c7402f99d7c6e1db85690ee4364c2"><ce:given-name>J.J.</ce:given-name><ce:surname>Liu</ce:surname><ce:cross-ref id="crf0009" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author id="au0005" orcid="0009-0004-6555-7464" author-id="S0370269326004661-518a4fb46b87daf2d8d66d8eca2d42ee"><ce:given-name>X.X.</ce:given-name><ce:surname>Xu</ce:surname><ce:cross-ref id="crf0010" refid="cor0001"><ce:sup>⁎</ce:sup></ce:cross-ref><ce:cross-ref id="crf0011" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref><ce:cross-ref id="crf0012" refid="aff0004"><ce:sup>d</ce:sup></ce:cross-ref><ce:cross-ref id="crf0013" refid="aff0005"><ce:sup>e</ce:sup></ce:cross-ref><ce:e-address type="email" xlink:href="mailto:xinxing@impcas.ac.cn" id="ead0003">xinxing@impcas.ac.cn</ce:e-address></ce:author><ce:author id="au0006" orcid="0009-0002-6582-5217" author-id="S0370269326004661-a0d276b0920ec38ae7b42dc17977f6cb"><ce:given-name>K.L.</ce:given-name><ce:surname>Wang</ce:surname><ce:cross-ref id="crf0014" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author id="au0007" orcid="0009-0009-7908-4895" author-id="S0370269326004661-168feb1067cd608c9b3c6549e5917b22"><ce:given-name>Y.D.</ce:given-name><ce:surname>Chen</ce:surname><ce:cross-ref id="crf0015" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref><ce:cross-ref id="crf0016" refid="aff0004"><ce:sup>d</ce:sup></ce:cross-ref></ce:author><ce:author id="au0008" orcid="0009-0008-0316-2327" author-id="S0370269326004661-ee3aa12b633798de53be9e2cabb730b5"><ce:given-name>H.L.</ce:given-name><ce:surname>Yang</ce:surname><ce:cross-ref id="crf0017" refid="aff0001"><ce:sup>a</ce:sup></ce:cross-ref><ce:cross-ref id="crf0018" refid="aff0006"><ce:sup>f</ce:sup></ce:cross-ref></ce:author><ce:affiliation id="aff0001" affiliation-id="S0370269326004661-4275a5889870d8e0f0b1c2d1b6f561b2"><ce:label>a</ce:label><ce:textfn id="textfn0002">State Key Laboratory of Heavy Ion Science and Technology, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China</ce:textfn><sa:affiliation><sa:organization>State Key Laboratory of Heavy Ion Science and Technology, Institute of Modern Physics, Chinese Academy of Sciences</sa:organization> <sa:city>Lanzhou</sa:city> <sa:postal-code>730000</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0001">State Key Laboratory of Heavy Ion Science and Technology, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China</ce:source-text></ce:affiliation><ce:affiliation id="aff0002" affiliation-id="S0370269326004661-807fdf4db3f80c33776bfd74a65e6a93"><ce:label>b</ce:label><ce:textfn id="textfn0003">China Institute of Atomic Energy, Beijing, 102413, China</ce:textfn><sa:affiliation><sa:organization>China Institute of Atomic Energy</sa:organization> <sa:city>Beijing</sa:city> <sa:postal-code>102413</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0002">China Institute of Atomic Energy, Beijing, 102413, China</ce:source-text></ce:affiliation><ce:affiliation id="aff0003" affiliation-id="S0370269326004661-8283fb4770552ffc3ea772460e131e43"><ce:label>c</ce:label><ce:textfn id="textfn0004">College of Physics and Technology, Guangxi Normal University, Guilin, 541004, China</ce:textfn><sa:affiliation><sa:organization>College of Physics and Technology, Guangxi Normal University</sa:organization> <sa:city>Guilin</sa:city> <sa:postal-code>541004</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0003">College of Physics and Technology, Guangxi Normal University, Guilin, 541004, China</ce:source-text></ce:affiliation><ce:affiliation id="aff0004" affiliation-id="S0370269326004661-211f68de21a03e3ac29ba11672433b3a"><ce:label>d</ce:label><ce:textfn id="textfn0005">University of Chinese Academy of Sciences, Beijing, 100049, China</ce:textfn><sa:affiliation><sa:organization>University of Chinese Academy of Sciences</sa:organization> <sa:city>Beijing</sa:city> <sa:postal-code>100049</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0004">University of Chinese Academy of Sciences, Beijing, 100049, China</ce:source-text></ce:affiliation><ce:affiliation id="aff0005" affiliation-id="S0370269326004661-38726cf4096ba206656f24187cd7aa29"><ce:label>e</ce:label><ce:textfn id="textfn0006">Advanced Energy Science and Technology Guangdong Laboratory, Huizhou, 516003, China</ce:textfn><sa:affiliation><sa:organization>Advanced Energy Science and Technology Guangdong Laboratory</sa:organization> <sa:city>Huizhou</sa:city> <sa:postal-code>516003</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0005">Advanced Energy Science and Technology Guangdong Laboratory, Huizhou, 516003, China</ce:source-text></ce:affiliation><ce:affiliation id="aff0006" affiliation-id="S0370269326004661-0f2b0f322c787ef838af26e7bb7f5ae1"><ce:label>f</ce:label><ce:textfn id="textfn0007">Key Laboratory of Magnetism and Magnetic Functional Materials, Lanzhou University, Lanzhou, 730000, China</ce:textfn><sa:affiliation><sa:organization>Key Laboratory of Magnetism and Magnetic Functional Materials, Lanzhou University</sa:organization> <sa:city>Lanzhou</sa:city> <sa:postal-code>730000</sa:postal-code> <sa:country iso3166-1-alpha-3="CHN">China</sa:country></sa:affiliation><ce:source-text id="st0006">Key Laboratory of Magnetism and Magnetic Functional Materials, Lanzhou University, Lanzhou, 730000, China</ce:source-text></ce:affiliation><ce:correspondence id="cor0001"><ce:label>⁎</ce:label><ce:text id="cor1">Corresponding authors.</ce:text></ce:correspondence></ce:author-group><ce:miscellaneous id="m0001">Editor: Baha Balantekin</ce:miscellaneous><ce:abstract id="abs0001" class="author"><ce:section-title id="sctt0001">Abstract</ce:section-title><ce:abstract-sec id="abssec0001"><ce:simple-para id="sp0005">Neutron-rich nuclei near the <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> shell closure are vital for <ce:italic>r</ce:italic>-process nucleosynthesis but remain challenging to produce. Multinucleon transfer reactions offer a promising route. We investigate the role of shell effects in such processes by extending the CLIM-H model with a deformation-dependent mass formula and a scaling factor <ce:italic>a</ce:italic> that linearly adjusts the shell-correction strength. Calculations for <ce:sup>136</ce:sup>Xe on <ce:sup>208</ce:sup>Pb, <ce:sup>204</ce:sup>Hg, and <ce:sup>208</ce:sup>Hg targets reveal a dual role: shell effects enhance few-nucleon transfers near the entrance channel but strongly suppress fragments requiring the transfer of many nucleons, most severely for the doubly magic <ce:sup>208</ce:sup>Pb. This suppression stems from the cumulative transfer probabilities and is aggravated by lower survival after deexcitation. Thus, optimal production of exotic <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> nuclei requires avoiding strongly shell-closed collision partners at <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>, as exemplified by doubly magic <ce:sup>208</ce:sup>Pb. We propose <ce:sup>238</ce:sup>U + <ce:sup>204</ce:sup>Hg at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.45 <ce:italic>V<ce:inf>B</ce:inf></ce:italic> as a superior system, predicting significantly enhanced yields.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords id="keys0001" class="keyword"><ce:section-title id="sctt0002">Keywords</ce:section-title><ce:keyword id="key0001"><ce:text id="txt0001">Multinucleon transfer reaction</ce:text></ce:keyword><ce:keyword id="key0002"><ce:text id="txt0002">CLIM-H model</ce:text></ce:keyword><ce:keyword id="key0003"><ce:text id="txt0003"><mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> neutron-rich nuclei</ce:text></ce:keyword><ce:keyword id="key0004"><ce:text id="txt0004">Langevin dynamics</ce:text></ce:keyword><ce:keyword id="key0005"><ce:text id="txt0005">Master equation</ce:text></ce:keyword></ce:keywords><ce:data-availability id="da01"><ce:section-title id="sctt0003">Data availability</ce:section-title><ce:para id="p0001">Data will be made available on request.</ce:para></ce:data-availability></head><body><ce:sections><ce:section id="sec0001" view="all" role="introduction"><ce:label>1</ce:label><ce:section-title id="sctt0004">Introduction</ce:section-title><ce:para id="p0002">Neutron-rich nuclei near the <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> shell closure are of fundamental importance in nuclear physics and astrophysics <ce:cross-refs id="crfs0001" refid="bib0001 bib0002 bib0003">[1–3]</ce:cross-refs>. As the nuclei at the third waiting point of the rapid neutron capture process (<ce:italic>r</ce:italic>-process), they govern the formation of the pronounced <ce:italic>A</ce:italic> ∼ 195 peak in the solar abundance pattern <ce:cross-refs id="crfs0002" refid="bib0004 bib0005 bib0006">[4–6]</ce:cross-refs>. Consequently, their nuclear properties, such as masses <ce:cross-refs id="crfs0003" refid="bib0007 bib0008">[7,8]</ce:cross-refs>, half-lives <ce:cross-refs id="crfs0004" refid="bib0009 bib0010">[9,10]</ce:cross-refs>, and single-particle levels near the Fermi surface <ce:cross-ref id="crf0019" refid="bib0011">[11]</ce:cross-ref>, serve as essential inputs for constraining the extreme conditions of <ce:italic>r</ce:italic>-process sites, such as neutron-star mergers <ce:cross-ref id="crf0020" refid="bib0012">[12]</ce:cross-ref>.</ce:para><ce:para id="p0003">Producing these nuclei, however, remains a significant experimental challenge. Conventional methods such as fusion-evaporation, fission, and projectile fragmentation (PF) struggle to efficiently access this region due to a combination of inherently low cross sections and the production of residues away from the neutron-rich side of stability <ce:cross-refs id="crfs0005" refid="bib0013 bib0014">[13,14]</ce:cross-refs>.</ce:para><ce:para id="p0004">Against this backdrop, multinucleon transfer (MNT) reactions have emerged as a viable approach to this region <ce:cross-refs id="crfs0006" refid="bib0015 bib0016 bib0017">[15–17]</ce:cross-refs>. Pioneering experiments with <ce:sup>136</ce:sup>Xe+<ce:sup>198</ce:sup>Pt demonstrated enhanced production of neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> isotones compared to PF <ce:cross-ref id="crf0021" refid="bib0018">[18]</ce:cross-ref>. Subsequent studies revealed that heavier projectiles (e.g., <ce:sup>209</ce:sup>Bi+<ce:sup>238</ce:sup>U <ce:cross-ref id="crf0022" refid="bib0019">[19]</ce:cross-ref>) transfer more nucleons, produce heavier fragments, and yield significantly lower excitation energies than lighter systems (e.g., <ce:sup>136</ce:sup>Xe+<ce:sup>238</ce:sup>U <ce:cross-ref id="crf0023" refid="bib0020">[20]</ce:cross-ref>). Meanwhile, systematic investigations with Pb/Bi targets have mapped cross-section systematics for proton transfer up to <mml:math altimg="si9.svg"><mml:mrow><mml:mo>+</mml:mo><mml:mn>8</mml:mn><mml:mi>p</mml:mi></mml:mrow></mml:math>. Comparison with actinide-target data shows that these trends extend consistently across the same proton transfer channels <ce:cross-ref id="crf0024" refid="bib0021">[21]</ce:cross-ref>. Despite these advances, the underlying mechanisms governing MNT processes, particularly how shell effects influence the interplay between nucleon transfer and energy dissipation, remain not fully understood.</ce:para><ce:para id="p0005">On the theoretical side, MNT dynamics have been studied using various approaches, including the Langevin dynamics <ce:cross-refs id="crfs0007" refid="bib0022 bib0023">[22,23]</ce:cross-refs>, the DNS (dinuclear system) model <ce:cross-refs id="crfs0008" refid="bib0024 bib0025 bib0026">[24–26]</ce:cross-refs>, other transport equations <ce:cross-refs id="crfs0009" refid="bib0027 bib0028">[27,28]</ce:cross-refs>, and microscopic methods such as time-dependent Hartree-Fock <ce:cross-refs id="crfs0010" refid="bib0029 bib0030">[29,30]</ce:cross-refs>, stochastic mean-field theory <ce:cross-ref id="crf0025" refid="bib0031">[31]</ce:cross-ref>, and time-dependent covariant density functional theory <ce:cross-ref id="crf0026" refid="bib0032">[32]</ce:cross-ref>. While these models have incorporated shell effects to some extent, a comprehensive and dynamic understanding of how shell effects influence fragment distributions in MNT reactions is still lacking. This gap motivates the present work.</ce:para><ce:para id="p0006">To investigate the influence of the microscopic shell effect on MNT processes, reactions at energies near the Coulomb barrier are particularly suitable. In such near-barrier collisions, the total excitation energy of the system is relatively low, ensuring that shell corrections remain significant throughout the interaction and can thus effectively influence the nucleon exchange process. Consequently, the shell effect of the collision partners is a key factor determining the efficiency of populating neutron-rich regions far from stability, as suggested by earlier studies of deep-inelastic collisions <ce:cross-refs id="crfs0011" refid="bib0033 bib0034 bib0035 bib0036">[33–36]</ce:cross-refs>. It is therefore essential to systematically investigate how shell effects shape the dynamics of near-barrier MNT reactions, both to advance theoretical understanding of these processes and to inform the optimal projectile-target combinations for synthesizing specific neutron-rich isotopes.</ce:para><ce:para id="p0007">The recently developed reaction model, named Coupling the Langevin dynamics Iteratively with the Master equation based on the HICOL model (CLIM-H) <ce:cross-ref id="crf0027" refid="bib0037">[37]</ce:cross-ref>, provides a powerful approach for such studies. Central to CLIM-H is the self-consistent coupling between the master equation, which governs the evolution of the fragment’s proton and neutron numbers, and the Langevin dynamics, which drives the collective coordinates. These two components mutually influence each other throughout the reaction. This scheme naturally bridges macroscopic dynamics and microscopic stochasticity.</ce:para><ce:para id="p0008">The CLIM-H model has been successfully applied to describe MNT dynamics for various systems, reproducing the overall trends of fragment distributions <ce:cross-refs id="crfs0012" refid="bib0037 bib0038">[37,38]</ce:cross-refs>. However, while the model captures the macroscopic features, it remains limited in describing the detailed isotopic distributions, particularly in regions where shell effects are expected to play a crucial role.</ce:para><ce:para id="p0009">This limitation stems from the model’s treatment of nuclear masses: currently taken from AME2020 <ce:cross-ref id="crf0028" refid="bib0039">[39]</ce:cross-ref>, they lack a deformation-dependent description. Consequently, shell effects are not dynamically incorporated into the potential energy surface and <ce:italic>Q</ce:italic>-values, but rather treated statically. To investigate how shell effects shape the detailed fragment yields, we extend the framework to include deformation-dependent masses and systematically explore their role in near-barrier MNT collisions.</ce:para><ce:para id="p0010">Using this extended framework, we perform calculations for three carefully chosen systems designed to isolate the specific influence of the target’s shell effects: <ce:sup>136</ce:sup>Xe+<ce:sup>208</ce:sup>Pb (<mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>), <ce:sup>204</ce:sup>Hg (<mml:math altimg="si10.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>124</mml:mn></mml:mrow></mml:math>), and <ce:sup>208</ce:sup>Hg (<mml:math altimg="si11.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>128</mml:mn></mml:mrow></mml:math>). The main improvement is the implementation of a deformation-dependent mass formula based on the Myers–Swiatecki mass prescription <ce:cross-ref id="crf0029" refid="bib0040">[40]</ce:cross-ref>, with its parameters refitted to AME2020. A scaling factor <ce:italic>a</ce:italic> is further introduced to linearly vary the shell-correction strength, providing a controlled way to trace how shell effects influence the entire reaction sequence, from nucleon exchange to fragment survival after deexcitation.</ce:para></ce:section><ce:section id="sec0002" view="all" role="methods"><ce:label>2</ce:label><ce:section-title id="sctt0005">Methods</ce:section-title><ce:para id="p0011">This work extends the CLIM-H framework by employing a phenomenological nuclear mass formula that includes deformation-dependent shell corrections. The mass formula provides the nuclear masses needed at each stage of the calculation, thereby embedding shell effects self-consistently into the potential energy surface and <ce:italic>Q</ce:italic>-values for nucleon transfer. A shell scaling factor <ce:italic>a</ce:italic> is incorporated to linearly tune the strength of the shell correction. The following details how this deformation-dependent mass description is incorporated into the model’s important components: the Langevin dynamics for shape evolution and the master equation for nucleon exchange.</ce:para><ce:para id="p0012">The mass of a nucleus with given <ce:italic>Z, N</ce:italic>, and deformation <ce:italic>ξ</ce:italic>(<ce:bold>q</ce:bold>), where <ce:bold>q</ce:bold> denotes the collective coordinates, is<ce:display><ce:formula id="eq0001"><ce:label>(1)</ce:label><mml:math altimg="si12.svg"><mml:mtable><mml:mtr><mml:mtd columnalign="left"><mml:mrow><mml:mrow/><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>;</mml:mo><mml:mi>ξ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd columnalign="left"><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>;</mml:mo><mml:mi>ξ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">+</mml:mo><mml:mi>a</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mi>i</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>;</mml:mo><mml:mi>ξ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mi>exp</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mo>−</mml:mo><mml:msup><mml:mi>E</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo linebreak="badbreak">/</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>Here, <ce:italic>M</ce:italic><ce:inf>mac</ce:inf>(<ce:italic>Z, N</ce:italic>; <ce:italic>ξ</ce:italic>(<ce:bold>q</ce:bold>)) and <ce:italic>M</ce:italic><ce:inf>mic</ce:inf>(<ce:italic>Z, N</ce:italic>; <ce:italic>ξ</ce:italic>(<ce:bold>q</ce:bold>)) denote the macroscopic liquid-drop term and the microscopic shell correction, respectively. Both terms follow the analytical forms of Myers and Swiatecki <ce:cross-refs id="crfs0013" refid="bib0040 bib0041">[40,41]</ce:cross-refs> (specifically, Eq. (9) of Ref. <ce:cross-ref id="crf0030" refid="bib0040">[40]</ce:cross-ref> for the macroscopic part and <ce:cross-ref id="crf0031" refid="eq0001">Eq. (1)</ce:cross-ref> of Ref. <ce:cross-ref id="crf0032" refid="bib0041">[41]</ce:cross-ref> for the shell correction), with all parameters refitted to the AME2020 <ce:cross-ref id="crf0033" refid="bib0039">[39]</ce:cross-ref>. The refitted formula achieves a root-mean-square deviation of 1.46 MeV for nuclei with <ce:italic>A</ce:italic> &#x003E; 50. The dimensionless scaling factor <ce:italic>a</ce:italic> allows us to linearly vary the strength of the shell correction: <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> corresponds to the macroscopic liquid-drop model (no shell effects), <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> to the realistic mass, and <ce:italic>a</ce:italic> &#x003E; 1 to artificially amplified shell effects. The shell correction is attenuated by the factor <mml:math altimg="si13.svg"><mml:mrow><mml:mi>exp</mml:mi><mml:mo>(</mml:mo><mml:mo>−</mml:mo><mml:msup><mml:mi>E</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo linebreak="goodbreak">/</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math> to account for its damping with excitation energy <ce:italic>E</ce:italic>*, following a treatment similar to Ref. <ce:cross-ref id="crf0034" refid="bib0042">[42]</ce:cross-ref>, where <ce:italic>E<ce:inf>d</ce:inf></ce:italic> is the damping parameter. The excitation energy <ce:italic>E</ce:italic>* of a fragment is taken as its share of the total dissipated energy, apportioned in proportion to its mass.</ce:para><ce:para id="p0013">For shapes that are axially symmetric about the <ce:italic>z</ce:italic>-axis (beam direction), <ce:italic>ξ</ce:italic><ce:sup>2</ce:sup>(<ce:bold>q</ce:bold>) is defined as a quantity proportional to the mean-square deviation of the nuclear surface from a sphere <ce:cross-ref id="crf0035" refid="bib0043">[43]</ce:cross-ref>:<ce:display><ce:formula id="eq0002"><ce:label>(2)</ce:label><mml:math altimg="si14.svg"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd columnalign="right"><mml:mrow><mml:msup><mml:mi>ξ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>∫</mml:mo><mml:mi>d</mml:mi><mml:mi>z</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="true">[</mml:mo><mml:mi>r</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="true">]</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mi>sin</mml:mi><mml:mi>ϑ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="true">|</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>ϑ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac><mml:mo stretchy="true">|</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>with <ce:italic>r</ce:italic>(<ce:italic>z</ce:italic>; <ce:bold>q</ce:bold>) the distance from the symmetry axis to the surface, ϑ the polar angle in the cylindrical coordinate system, and <mml:math altimg="si15.svg"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1.25</mml:mn><mml:msup><mml:mi>A</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> fm. This deformation-dependent mass formula allows us to compute the shell corrections of the collision system at any stage of its shape evolution.</ce:para><ce:para id="p0014">In <ce:cross-ref id="crf0036" refid="eq0001">Eq. (1)</ce:cross-ref>, <ce:italic>M</ce:italic><ce:inf>mic</ce:inf>(<ce:italic>Z, N</ce:italic>) is negative for doubly magic nuclei (e.g., <ce:sup>208</ce:sup>Pb), stabilizing spherical shapes, and positive for non-magic nuclei, favoring deformation. The masses from <ce:cross-ref id="crf0037" refid="eq0001">Eq. (1)</ce:cross-ref> are used to construct the system potential energy <ce:italic>V</ce:italic>(<ce:bold>q</ce:bold>) and <ce:italic>Q</ce:italic>-values for nucleon transfer, ensuring that shell effects are propagated consistently through the reaction dynamics.</ce:para><ce:para id="p0015">The shapes of the projectile-like fragment (PLF) and target-like fragment (TLF) within the reaction plane are modeled as circular arcs smoothly connected by a hyperbolic neck. The shape is parameterized by three collective coordinates: the center-to-center distance <ce:italic>s</ce:italic>, the neck-to-total volume ratio <ce:italic>σ</ce:italic>, and the radius asymmetry Δ. Crucially, for the assumed shapes, the radius asymmetry Δ is in one-to-one correspondence with the mass asymmetry <mml:math altimg="si16.svg"><mml:mrow><mml:mi>α</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="badbreak">−</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">/</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>, where <ce:italic>A</ce:italic><ce:inf>P</ce:inf> and <ce:italic>A</ce:italic><ce:inf>T</ce:inf> are the mass numbers of the PLF and TLF, respectively. Additionally, three rotational angles (<ce:italic>θ</ce:italic><ce:inf>P</ce:inf>, <ce:italic>θ</ce:italic><ce:inf>T</ce:inf>, <ce:italic>θ</ce:italic>) describe the intrinsic rotations of the fragments and the overall rotation.</ce:para><ce:para id="p0016">The surface profile is described by a contour function <ce:italic>P</ce:italic>(<ce:italic>z</ce:italic>; <ce:bold>q</ce:bold>). The distance <ce:italic>r</ce:italic>(<ce:italic>z</ce:italic>; <ce:bold>q</ce:bold>) from the symmetry axis to the surface, as required in <ce:cross-ref id="crf0038" refid="eq0002">Eq. (2)</ce:cross-ref>, is given by: for the PLF, <mml:math altimg="si17.svg"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:msup><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">+</mml:mo><mml:msup><mml:mi>z</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>, and for the TLF, <mml:math altimg="si18.svg"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:msup><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">+</mml:mo><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>−</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>.</ce:para><ce:para id="p0017">In the CLIM-H framework, Δ is not evolved by the Langevin equations but is instead fixed at each time step by the mass asymmetry obtained from the master equation (<ce:cross-ref id="crf0039" refid="eq0005">Eq. (5)</ce:cross-ref>). The time evolution of the remaining coordinates <mml:math altimg="si19.svg"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>σ</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mi>θ</mml:mi><mml:mo>}</mml:mo></mml:mrow></mml:mrow></mml:math> and their conjugate momenta <ce:italic>p<ce:inf>i</ce:inf></ce:italic> follows Langevin equations:<ce:display><ce:formula id="eq0003"><ce:label>(3)</ce:label><mml:math altimg="si20.svg"><mml:mtable><mml:mtr><mml:mtd columnalign="left"><mml:mrow><mml:mrow/><mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo>˙</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd columnalign="left"><mml:mrow><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="bold-italic">μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>p</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd columnalign="left"><mml:msub><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>˙</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mtd><mml:mtd columnalign="left"><mml:mrow><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mfrac><mml:mi>∂</mml:mi><mml:mrow><mml:mi>∂</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mrow><mml:mo stretchy="true">[</mml:mo><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">p</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo><mml:mo stretchy="true">]</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">−</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:mrow><mml:mo stretchy="true">[</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo>˙</mml:mo></mml:mover><mml:mi>j</mml:mi></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mstyle mathvariant="normal"><mml:mi>Γ</mml:mi></mml:mstyle><mml:mi>j</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo stretchy="true">]</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>where <ce:bold><ce:italic>μ</ce:italic></ce:bold>(<ce:bold>q</ce:bold>) is the inertia tensor (calculated in the Werner-Wheeler approximation <ce:cross-ref id="crf0040" refid="bib0044">[44]</ce:cross-ref>), <ce:italic>T</ce:italic>(<ce:bold>p, q</ce:bold>) the kinetic energy, and <ce:italic>V</ce:italic>(<ce:bold>q</ce:bold>) the potential energy. The friction tensor <ce:italic>R<ce:inf>ij</ce:inf></ce:italic>(<ce:bold>q</ce:bold>) originates from one-body dissipation <ce:cross-ref id="crf0041" refid="bib0045">[45]</ce:cross-ref>, and the corresponding random-force amplitudes <ce:italic>g<ce:inf>ij</ce:inf></ce:italic>(<ce:bold>q</ce:bold>) follow from the fluctuation-dissipation theorem <ce:cross-refs id="crfs0014" refid="bib0045 bib0046">[45,46]</ce:cross-refs>, with Γ<ce:inf><ce:italic>j</ce:italic></ce:inf>(<ce:italic>t</ce:italic>) being a normalized white noise.</ce:para><ce:para id="p0018">The potential energy <ce:italic>V</ce:italic>(<ce:bold>q</ce:bold>), which is essential for analyzing shell effects, is<ce:display><ce:formula id="eq0004"><ce:label>(4)</ce:label><mml:math altimg="si21.svg"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd columnalign="right"><mml:mrow><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo linebreak="goodbreak">+</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo linebreak="goodbreak">+</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mn>12</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>where <ce:italic>M</ce:italic><ce:inf>P</ce:inf> ≡ <ce:italic>M</ce:italic>(<ce:italic>Z</ce:italic><ce:inf>P</ce:inf>, <ce:italic>N</ce:italic><ce:inf>P</ce:inf>; <ce:italic>ξ</ce:italic>(<ce:bold>q</ce:bold>)) and <ce:italic>M</ce:italic><ce:inf>T</ce:inf> ≡ <ce:italic>M</ce:italic>(<ce:italic>Z</ce:italic><ce:inf>T</ce:inf>, <ce:italic>N</ce:italic><ce:inf>T</ce:inf>; <ce:italic>ξ</ce:italic>(<ce:bold>q</ce:bold>)) are the rest masses for the PLF and TLF, respectively, as given by <ce:cross-ref id="crf0042" refid="eq0001">Eq. (1)</ce:cross-ref> and thus contain the shell corrections. Here, <ce:italic>Z</ce:italic><ce:inf>P</ce:inf> and <ce:italic>N</ce:italic><ce:inf>P</ce:inf> (<ce:italic>Z</ce:italic><ce:inf>T</ce:inf> and <ce:italic>N</ce:italic><ce:inf>T</ce:inf>) denote the proton and neutron numbers of the PLF (TLF). <ce:italic>V</ce:italic><ce:inf>12</ce:inf>(<ce:bold>q</ce:bold>) is the total interaction potential (nuclear plus Coulomb) obtained by double-folding the Yukawa-plus-exponential and Coulomb interactions <ce:cross-refs id="crfs0015" refid="bib0047 bib0048">[47,48]</ce:cross-refs>, with parameters unchanged from Refs. <ce:cross-refs id="crfs0016" refid="bib0037 bib0045">[37,45]</ce:cross-refs>.</ce:para><ce:para id="p0019">Nucleon exchange is treated as a stochastic Markov process, described by a master equation for the probability <ce:italic>P</ce:italic><ce:inf>(<ce:italic>Z,N</ce:italic>)</ce:inf>(<ce:italic>t</ce:italic>) of finding a fragment in state (<ce:italic>Z, N</ce:italic>) at time <ce:italic>t</ce:italic>:<ce:display><ce:formula id="eq0005"><ce:label>(5)</ce:label><mml:math altimg="si22.svg"><mml:mtable><mml:mtr><mml:mtd columnalign="left"><mml:mrow><mml:mrow/><mml:mfrac><mml:mrow><mml:mi>∂</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>∂</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mtd><mml:mtd columnalign="left"><mml:mrow><mml:mo>=</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:munder><mml:msub><mml:mstyle mathvariant="normal"><mml:mi>Λ</mml:mi></mml:mstyle><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>→</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd columnalign="left"><mml:mrow><mml:mspace width="1em"/><mml:mo linebreak="goodbreak">−</mml:mo><mml:munder><mml:mo>∑</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:munder><mml:msub><mml:mstyle mathvariant="normal"><mml:mi>Λ</mml:mi></mml:mstyle><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>→</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>The transition rate <mml:math altimg="si23.svg"><mml:mrow><mml:msubsup><mml:mstyle mathvariant="normal"><mml:mi>Λ</mml:mi></mml:mstyle><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:msubsup><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">/</mml:mo><mml:mi>τ</mml:mi></mml:mrow></mml:math> corresponds to the transfer <mml:math altimg="si24.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">+</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">+</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>, where <ce:italic>τ</ce:italic> is a characteristic collision time <ce:cross-ref id="crf0043" refid="bib0049">[49]</ce:cross-ref>. The master equation is coupled self-consistently to the Langevin equations: at each time step, the nucleon numbers (<ce:italic>Z, N</ce:italic>) obtained from the master equation uniquely determine <ce:italic>α</ce:italic>; which, through the one-to-one correspondence <ce:italic>α</ce:italic>↔Δ, fixes the value of Δ that is then used in the Langevin evolution of the remaining collective coordinates.</ce:para><ce:para id="p0020">The single-nucleon transfer probability <mml:math altimg="si25.svg"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> depends on the <ce:italic>Q</ce:italic>-value:<ce:display><ce:formula id="eq0006"><ce:label>(6)</ce:label><mml:math altimg="si26.svg"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd columnalign="right"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:mfrac><mml:mrow><mml:mi>exp</mml:mi><mml:mrow><mml:mo stretchy="true">{</mml:mo><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="true">[</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mi>Q</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="bold">q</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">o</mml:mi></mml:mrow><mml:mi>p</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>ℏ</mml:mi><mml:msub><mml:mi>ω</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo stretchy="true">]</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="true">}</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>exp</mml:mi><mml:mo>[</mml:mo><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>−</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>where <mml:math altimg="si27.svg"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1.25</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mi>P</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo linebreak="badbreak">+</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mi>T</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> fm, <mml:math altimg="si28.svg"><mml:mrow><mml:mi>ℏ</mml:mi><mml:msub><mml:mi>ω</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn><mml:mo linebreak="goodbreak">/</mml:mo><mml:mi>τ</mml:mi></mml:mrow></mml:math>, and <ce:italic>Q</ce:italic><ce:inf>opt</ce:inf> an optimum <ce:italic>Q</ce:italic>-value defined as in Ref. <ce:cross-ref id="crf0044" refid="bib0037">[37]</ce:cross-ref>. The wavenumber <ce:italic>k</ce:italic> is determined by the nucleon separation energies of the interacting fragments, calculated from the masses given by <ce:cross-ref id="crf0045" refid="eq0001">Eq. (1)</ce:cross-ref> following the method of Refs. <ce:cross-refs id="crfs0017" refid="bib0050 bib0051">[50,51]</ce:cross-refs>.</ce:para><ce:para id="p0021">The <ce:italic>Q</ce:italic>-value for a given transfer step is computed from the masses of the fragments. Since these masses are now obtained from the deformation-dependent formula of <ce:cross-ref id="crf0046" refid="eq0001">Eq. (1)</ce:cross-ref>, the <ce:italic>Q</ce:italic>-value implicitly carries the information of shell corrections and their evolution with fragment shapes throughout the reaction. Shell corrections in the masses therefore directly determine the <ce:italic>Q</ce:italic>-value, which in turn influences the transfer probability via <ce:cross-ref id="crf0047" refid="eq0006">Eq. (6)</ce:cross-ref>.</ce:para><ce:para id="p0022">For the model implementation in this study, the primary cross sections are obtained by solving <ce:cross-ref id="crf0048" refid="eq0003">Eq. (3)</ce:cross-ref> coupled with <ce:cross-ref id="crf0049" refid="eq0005">Eq. (5)</ce:cross-ref> until the fragments separate (<ce:italic>s</ce:italic> &#x003E; 40 fm). The same set of CLIM-H parameters is used for all calculations. The incident energy in the center-of-mass frame is set to <mml:math altimg="si29.svg"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1.066</mml:mn><mml:mspace width="0.33em"/><mml:msub><mml:mi>V</mml:mi><mml:mi>B</mml:mi></mml:msub></mml:mrow></mml:math>, where <ce:italic>V<ce:inf>B</ce:inf></ce:italic> denotes the Coulomb barrier of the corresponding system <ce:cross-ref id="crf0050" refid="bib0052">[52]</ce:cross-ref>. An ensemble of trajectories covering the orbital angular momentum range <mml:math altimg="si30.svg"><mml:mrow><mml:mi>l</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>–1000 ℏ is simulated to account for the cross section. For each trajectory, after obtaining the primary fragment distribution from the CLIM-H calculation, statistical deexcitation is treated using the GEMINI++ code <ce:cross-ref id="crf0051" refid="bib0053">[53]</ce:cross-ref>, which has been benchmarked against other deexcitation models in the heavy-mass region <ce:cross-ref id="crf0052" refid="bib0054">[54]</ce:cross-ref>. Final cross sections are obtained by summing over all trajectories after deexcitation.</ce:para></ce:section><ce:section id="sec0003" view="all"><ce:label>3</ce:label><ce:section-title id="sctt0006">Analysis and results</ce:section-title><ce:para id="p0023">This work investigates how shell effects influence MNT dynamics to identify favorable collision partners for producing neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> nuclei. To isolate the role of the target’s shell effects, we systematically compare three reactions — <ce:sup>136</ce:sup>Xe+<ce:sup>208</ce:sup>Pb, <ce:sup>136</ce:sup>Xe+<ce:sup>204</ce:sup>Hg, and <ce:sup>136</ce:sup>Xe+<ce:sup>208</ce:sup>Hg. In each case, the same <mml:math altimg="si31.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn><mml:mo>,</mml:mo><mml:mi>Z</mml:mi><mml:mo>≤</mml:mo><mml:mn>80</mml:mn></mml:mrow></mml:math> isotone (e.g., <ce:sup>203</ce:sup>Ir) is chosen as the final product; although the proton and neutron compositions of the required transfer differ between targets, the total number of transferred nucleons is fixed for a given isotone. This reference point ensures that any difference in yield can be directly attributed to the target’s shell effect.</ce:para><ce:para id="p0024">The model is validated against experimental data for <ce:sup>136</ce:sup>Xe+<ce:sup>208</ce:sup>Pb at <mml:math altimg="si32.svg"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>450</mml:mn></mml:mrow></mml:math> MeV ( ∼ 1.066<ce:italic>V<ce:inf>B</ce:inf></ce:italic>) <ce:cross-ref id="crf0053" refid="bib0055">[55]</ce:cross-ref>. The impact of shell effects on the MNT yields is directly visualized in <ce:cross-ref id="crf0054" refid="fig0001">Fig. 1</ce:cross-ref><ce:float-anchor refid="fig0001"/>, which compares the experimental data (yellow circles) with calculations for <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> (red solid line) and <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> (black dashed line) across isotopic chains from tungsten (<mml:math altimg="si33.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>74</mml:mn></mml:mrow></mml:math>) to lead (<mml:math altimg="si34.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>82</mml:mn></mml:mrow></mml:math>).</ce:para><ce:para id="p0025">The model with realistic shell effects reproduces the main features of the measured isotopic distributions. For Pt (<mml:math altimg="si35.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>78</mml:mn></mml:mrow></mml:math>) and Au (<mml:math altimg="si36.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>79</mml:mn></mml:mrow></mml:math>), the predicted peak positions and distribution shapes agree well with the data. For lighter elements (<mml:math altimg="si37.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>74</mml:mn><mml:mo linebreak="goodbreak">−</mml:mo><mml:mn>77</mml:mn></mml:mrow></mml:math>), where experimental cross sections are low (typically  &#x003C; 1 mb), the model provides a qualitative description. The deviations for the lighter elements are likely related to the sensitivity of the deexcitation process to the excitation energy deposited in the primary fragments, an aspect that still requires careful modeling.</ce:para><ce:para id="p0026">A detailed comparison between the <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> and <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> calculations in <ce:cross-ref id="crf0055" refid="fig0001">Fig. 1</ce:cross-ref> reveals the influence of shell corrections on the final yields. For isotopes near the entrance channel, the <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> results agree well with the data, whereas the <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> calculation underestimates the yields. In contrast, for multi-nucleon transfer products, <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> lies systematically above both <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> and the experimental data. This systematic trend is further corroborated by the mass distribution (Supplementary Fig. S1 <ce:cross-ref id="crf0056" refid="bib0056">[56]</ce:cross-ref>), where <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> overestimates the yields for <ce:italic>A</ce:italic> ≲ 200 and <mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> enhances the yields closer to the entrance channel. Thus, the realistic (<mml:math altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>) calculation captures the dual role of the shell effect: it enhances few-nucleon transfers while hindering multi-nucleon transfer channels.</ce:para><ce:para id="p0027">To unravel the microscopic mechanism behind the dual role of shell effects, we examine nucleon exchange at characteristic stages of the collision. In heavy-ion collisions, large angular momentum leads to grazing collisions where few-nucleon transfer dominates, while smaller angular momentum leads to deeper contact where multinucleon transfer becomes more probable. We therefore adopt two characteristic configurations: for few-nucleon transfer, a grazing configuration (<mml:math altimg="si38.svg"><mml:mrow><mml:mi>s</mml:mi><mml:mo>≈</mml:mo><mml:mn>1.25</mml:mn><mml:mo>(</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mi>P</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo linebreak="goodbreak">+</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mi>T</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math> fm, <mml:math altimg="si39.svg"><mml:mrow><mml:mi>σ</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>); for multinucleon transfer, a more compact configuration corresponding to the distance of dynamical closest approach (<ce:italic>s</ce:italic> ≈ 13 fm, <ce:italic>σ</ce:italic> ≈ 0.05 for the systems studied here). To quantify the probability of reaching a given fragment (<ce:italic>Z, N</ce:italic>) from the initial collision partner (<ce:italic>Z</ce:italic><ce:inf>0</ce:inf>, <ce:italic>N</ce:italic><ce:inf>0</ce:inf>) under these conditions, we introduce the cumulative transfer probability <ce:italic>P</ce:italic><ce:inf>cum</ce:inf>, defined as the maximum possible probability along a hypothetical stepwise transfer path during a single passage through the relevant region:<ce:display><ce:formula id="eq0007"><ce:label>(7)</ce:label><mml:math altimg="si40.svg"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd columnalign="right"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>cum</mml:mtext></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:munder><mml:mi>max</mml:mi><mml:mrow><mml:mtext>all</mml:mtext><mml:mspace width="4.pt"/><mml:mtext>paths</mml:mtext></mml:mrow></mml:munder><mml:mrow><mml:mo stretchy="true">[</mml:mo><mml:munderover><mml:mo>∏</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msubsup><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle><mml:msub><mml:mi>Z</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle><mml:msub><mml:mi>N</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="true">]</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></ce:formula></ce:display>where <ce:italic>n</ce:italic> is the total number of transfer steps, and (Δ<ce:italic>Z<ce:inf>k</ce:inf></ce:italic>, Δ<ce:italic>N<ce:inf>k</ce:inf></ce:italic>) represents the nucleons transferred in the <ce:italic>k</ce:italic>th step.</ce:para><ce:para id="p0028">Using the shell scaling factor <ce:italic>a</ce:italic> as a controlled variable, we can trace how shell corrections influence each step of the nucleon exchange. By linearly varying <ce:italic>a</ce:italic> (taking values 0, 0.5, 1, 1.5, 2), we systematically alter the shell correction strength from zero to an enhanced value (<ce:italic>a</ce:italic> &#x003E; 1). This allows us to quantify how <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> for specific products evolves with <ce:italic>a</ce:italic>, thereby disentangling the influence of the shell effect on the MNT dynamics.</ce:para><ce:para id="p0029"><ce:cross-ref id="crf0057" refid="fig0002">Fig. 2</ce:cross-ref><ce:float-anchor refid="fig0002"/> (a) and (b) display <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> for <ce:sup>206</ce:sup>Hg and <ce:sup>203</ce:sup>Ir, respectively, across the three systems, revealing a striking contrast. For <ce:sup>206</ce:sup>Hg (<ce:cross-ref id="crf0058" refid="fig0002">Fig. 2</ce:cross-ref>(a)), which requires only a two-nucleon transfer, <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> remains nearly constant or even increases slightly with <ce:italic>a</ce:italic>. This indicates that shell effects do not hinder few-nucleon transfer near the entrance channel, and may even facilitate it for <ce:sup>208</ce:sup>Hg. In sharp contrast, <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> for <ce:sup>203</ce:sup>Ir (<ce:cross-ref id="crf0059" refid="fig0002">Fig. 2</ce:cross-ref>(b)), a five-nucleon transfer product, decreases markedly as <ce:italic>a</ce:italic> increases, with the strongest suppression occurring for the double-magic <ce:sup>208</ce:sup>Pb target. This trend directly shows how enhanced shell effects inhibit the incremental probability of forming a nucleus that requires a large transferred nucleon.</ce:para><ce:para id="p0030">The consequences of this microscopic effect are reflected in the primary cross sections <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> (<ce:cross-ref id="crf0060" refid="fig0002">Fig. 2</ce:cross-ref>(c) and (d)). For <ce:sup>206</ce:sup>Hg, <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> rises with <ce:italic>a</ce:italic>, owing mainly to the reduction in the required transferred nucleon. Conversely, for <ce:sup>203</ce:sup>Ir, <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> drops sharply with increasing <ce:italic>a</ce:italic>, most dramatically for <ce:sup>208</ce:sup>Pb. The close correspondence between the <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> and <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> trends establishes a clear cause-and-effect link: shell-induced suppression of the microscopic transfer probability is the key mechanism that drastically reduces the macroscopic yield of multi-nucleon transfer channels. We note that the increase of <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> for <ce:sup>206</ce:sup>Hg is less pronounced than that of <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf>. This is likely because some <ce:sup>206</ce:sup>Hg are produced during close contact between the colliding partners, where the transfer paths differ from the typical grazing trajectory used in the <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> calculation.</ce:para><ce:para id="p0031">The scaling of <ce:italic>a</ce:italic> reveals that the cumulative inhibition of successive transfer probabilities underlies the macroscopic yields. For few-nucleon transfer (<ce:sup>206</ce:sup>Hg), the weak variation of <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> allows <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf> to rise as the transferred nucleon decreases. For multi-nucleon transfer (<ce:sup>203</ce:sup>Ir), the strong suppression of <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> with <ce:italic>a</ce:italic> directly drives the sharp drop in <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf>. This demonstrates that the decrease of multi-nucleon transfer yields originates from the reduction of <ce:italic>P</ce:italic><ce:inf>cum</ce:inf>: for a stabilized target, larger <ce:italic>a</ce:italic> means greater resistance to nucleon transfer, which lowers the cumulative transfer probability and in turn reduces <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf>. This effect is most pronounced for the doubly magic <ce:sup>208</ce:sup>Pb.</ce:para><ce:para id="p0032">The above analysis shows that shell effects, encoded in the scaling factor <ce:italic>a</ce:italic>, govern primary fragment production by affecting microscopic transfer probabilities. The experimentally observable cross sections, however, are obtained only after statistical deexcitation. To assess the shell effect’s full impact on observable yields, we now examine how it influences fragment survival. For each system and each value of <ce:italic>a</ce:italic>, we compare the primary (<ce:italic>σ</ce:italic><ce:inf>pri</ce:inf>) and final (<ce:italic>σ</ce:italic><ce:inf>fin</ce:inf>) cross sections and define the survival ratio <mml:math altimg="si41.svg"><mml:mrow><mml:mi>R</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">=</mml:mo><mml:msub><mml:mi>σ</mml:mi><mml:mtext>fin</mml:mtext></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">/</mml:mo><mml:msub><mml:mi>σ</mml:mi><mml:mtext>pri</mml:mtext></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>, which represents the fraction of primary fragments that survive deexcitation. In the neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> region, one typically finds <ce:italic>R</ce:italic>(<ce:italic>a</ce:italic>) &#x003C; 1, reflecting deexcitation losses.</ce:para><ce:para id="p0033">The scaling factor <ce:italic>a</ce:italic> does not alter the nuclear input parameters (e.g., level densities and decay widths) employed internally by GEMINI++. However, it affects the reaction dynamics within CLIM-H, thereby changing the excitation energy and angular momentum distributions of the primary fragments. This leads to an <ce:italic>a</ce:italic>-dependent survival ratio <ce:italic>R</ce:italic>(<ce:italic>a</ce:italic>).</ce:para><ce:para id="p0034"><ce:cross-ref id="crf0061" refid="fig0003">Fig. 3</ce:cross-ref><ce:float-anchor refid="fig0003"/> shows <ce:italic>R</ce:italic>(<ce:italic>a</ce:italic>) for <ce:sup>206</ce:sup>Hg and <ce:sup>203</ce:sup>Ir. The behavior differs markedly between the two nuclei. For <ce:sup>206</ce:sup>Hg (<ce:cross-ref id="crf0062" refid="fig0003">Fig. 3</ce:cross-ref>(a)), <ce:italic>R</ce:italic> remains close to 1, indicating that primary fragments have relatively low average excitation. In <ce:sup>136</ce:sup>Xe+<ce:sup>208</ce:sup>Hg, <ce:italic>R</ce:italic> is closest to 1 for all <ce:italic>a</ce:italic>, due to feeding from the deexcitation of more neutron-rich primary isotopes (e.g., <ce:sup>207,208</ce:sup>Hg  →  <ce:sup>206</ce:sup>Hg).</ce:para><ce:para id="p0035">For <ce:sup>203</ce:sup>Ir, <ce:italic>R</ce:italic> is significantly lower (<ce:italic>R</ce:italic> &#x003C; 0.2) and drops steeply with increasing <ce:italic>a</ce:italic>. The suppression is most pronounced for <mml:math altimg="si42.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>136</mml:mn></mml:msup><mml:mtext>Xe</mml:mtext><mml:msup><mml:mo>+</mml:mo><mml:mn>208</mml:mn></mml:msup><mml:mtext>Pb</mml:mtext></mml:mrow></mml:math>, where <ce:italic>R</ce:italic> falls most dramatically with <ce:italic>a</ce:italic>. This indicates that primary <ce:sup>203</ce:sup>Ir fragments are typically highly excited, and their excitation increases substantially when shell effects are enhanced, making them unlikely to survive deexcitation.</ce:para><ce:para id="p0036">Taking the <ce:sup>208</ce:sup>Pb target, where the shell effect is strongest, the final cross section of <ce:sup>203</ce:sup>Ir can be decomposed into primary-production and survival contributions. The shell correction reduces the primary yield by only  ≈ 16%, while the survival probability drops by a factor of  ≈ 3. Since the deexcitation code is identical in both cases, this large change in survival must originate from the different primary fragment distributions and their internal configurations produced with and without shell corrections. At <mml:math altimg="si3.svg"><mml:mrow><mml:mi>a</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>, the absence of shell effects permits the transfer of more nucleons in the multi-nucleon transfer channels; these primary fragments carry higher internal excitation, and their subsequent nucleon evaporation feeds the <ce:sup>203</ce:sup>Ir channel, enhancing the final yield. As shown in the total kinetic energy loss (TKEL) distribution (Supplementary Fig. S2 <ce:cross-ref id="crf0063" refid="bib0056">[56]</ce:cross-ref>), the shell correction shifts the spectrum toward lower TKEL values, indicating that the primary fragments are indeed less excited. The shell effect thus influences the final yields primarily through the dynamical stage, by modifying both the transfer paths and the excitation energy of the primary fragments; the corresponding change in the survival ratio is a consequence of these dynamical differences, rather than an independent effect originating in the deexcitation stage.</ce:para><ce:para id="p0037">This mechanism also explains the systematic target dependence of the survival ratio. For <ce:sup>206</ce:sup>Hg, a few-nucleon transfer product, <ce:italic>R</ce:italic> is close to unity for all targets and is highest for <ce:italic>N</ce:italic> &#x003E; 126 targets because primary fragments with a neutron excess preferentially evaporate neutrons, feeding the final yield toward the <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> shell. For <ce:sup>203</ce:sup>Ir, in contrast, the survival probability is systematically higher with the non-magic Hg targets than with the double-magic <ce:sup>208</ce:sup>Pb. The magic target not only suppresses multi-nucleon transfer dynamically (<ce:cross-ref id="crf0064" refid="fig0002">Fig. 2</ce:cross-ref>), but compared to non-magic targets, each transferred nucleon from a doubly magic target deposits more excitation energy into the primary fragments, further diminishing their survival. The combination of these two effects makes doubly magic targets particularly unfavorable for producing neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> nuclei.</ce:para><ce:para id="p0038">The insights gained above, which suggest avoiding magic nuclei as collision partners and favoring neutron-rich non-magic ones, allow us to propose a more optimized reaction system. We consider <mml:math altimg="si7.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>204</mml:mn></mml:msup></mml:mrow></mml:math>Hg at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.45 <ce:italic>V<ce:inf>B</ce:inf></ce:italic>. Previous work <ce:cross-ref id="crf0065" refid="bib0038">[38]</ce:cross-ref> has shown that <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ (1.4–1.6) <ce:italic>V<ce:inf>B</ce:inf></ce:italic> favors producing neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> nuclides in such systems. We choose <mml:math altimg="si43.svg"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">m</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>1.45</mml:mn><mml:msub><mml:mi>V</mml:mi><mml:mi>B</mml:mi></mml:msub></mml:mrow></mml:math>, which optimally balances the transfer and survival: higher energy reduces the distance of closest approach, enhancing <ce:italic>P</ce:italic><ce:inf>cum</ce:inf>, but also increases fragment excitation energy, which can dampen shell effects and reduce <ce:italic>R</ce:italic>. At 1.45 <ce:italic>V<ce:inf>B</ce:inf>, P</ce:italic><ce:inf>cum</ce:inf> is sufficiently high while the excitation energy deposited in the TLF remains moderate (because the <ce:sup>204</ce:sup>Hg-like fragments are lighter than the <ce:sup>238</ce:sup>U-like fragments), so shell corrections stay effective and <ce:italic>R</ce:italic> does not drop sharply. Thus, this energy makes <mml:math altimg="si7.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>204</mml:mn></mml:msup></mml:mrow></mml:math>Hg a favorable system for producing exotic <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> isotones.</ce:para><ce:para id="p0039"><ce:cross-ref id="crf0066" refid="fig0004">Fig. 4</ce:cross-ref><ce:float-anchor refid="fig0004"/> displays the predicted final cross sections for <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> isotones produced in the <mml:math altimg="si44.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>204</mml:mn></mml:msup><mml:mtext>Hg</mml:mtext></mml:mrow></mml:math> reaction (red circles). The yields rise smoothly with <ce:italic>Z</ce:italic>, approaching 100 mb for <ce:sup>206</ce:sup>Hg. Notably, even for the relatively light isotone at <mml:math altimg="si45.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>72</mml:mn></mml:mrow></mml:math> (<ce:sup>198</ce:sup>Hf), the predicted final cross section remains as high as  ∼ 3.6 <ce:italic>μ</ce:italic>b. For the neutron-rich isotopes <ce:sup>203</ce:sup>Ir and <ce:sup>202</ce:sup>Os, the calculated final cross sections are 2.1 mb and 0.87 mb, respectively. For comparison, the experimental yields for the benchmark system <mml:math altimg="si8.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>136</mml:mn></mml:msup><mml:mtext>Xe</mml:mtext><mml:msup><mml:mo>+</mml:mo><mml:mn>198</mml:mn></mml:msup></mml:mrow></mml:math>Pt at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.6 <ce:italic>V<ce:inf>B</ce:inf></ce:italic> are also included <ce:cross-ref id="crf0067" refid="bib0018">[18]</ce:cross-ref>.</ce:para></ce:section><ce:section id="sec0004" view="all" role="conclusion"><ce:label>4</ce:label><ce:section-title id="sctt0007">Conclusion</ce:section-title><ce:para id="p0040">This study elucidates how shell effects influence the synthesis of neutron-rich nuclei near <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> in multinucleon transfer reactions. By extending the CLIM-H model with a deformation-dependent mass formula and introducing a scaling factor <ce:italic>a</ce:italic>, we systematically traced the influence of the shell effect on the reaction dynamics. The analysis reveals a dual role of shell effects: they enhance the production of fragments close to the entrance-channel configuration while strongly suppressing those that require a large number of transferred nucleons. This suppression is most pronounced for double-magic targets such as <ce:sup>208</ce:sup>Pb, making them inefficient for producing neutron-rich isotopes of interest like <ce:sup>203</ce:sup>Ir.</ce:para><ce:para id="p0041">The microscopic mechanism underlying this suppression is identified through the cumulative transfer probability <ce:italic>P</ce:italic><ce:inf>cum</ce:inf>: enhanced shell corrections progressively inhibit <ce:italic>P</ce:italic><ce:inf>cum</ce:inf> along the optimal path to a multi-nucleon transfer product, which in turn reduces the primary cross section <ce:italic>σ</ce:italic><ce:inf>pri</ce:inf>. The same shell effects also modify the excitation energy of the primary fragments: compared to non-magic targets, each nucleon transferred from a doubly magic target deposits more excitation energy, further reducing the survival probability during statistical deexcitation.</ce:para><ce:para id="p0042">Our results provide clear guidance for selecting reaction partners to produce neutron-rich <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> nuclei: closed shell nuclei like doubly magic <ce:sup>208</ce:sup>Pb should be avoided, as they suppress multi-nucleon transfer channels in the reaction dynamics, and the associated increase in fragment excitation energy further reduces survival during deexcitation. While focused on <mml:math altimg="si6.svg"><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="goodbreak">=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>, this principle likely holds for other magic numbers. A concrete example is the <mml:math altimg="si7.svg"><mml:mrow><mml:msup><mml:mrow/><mml:mn>238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi><mml:msup><mml:mo>+</mml:mo><mml:mn>204</mml:mn></mml:msup></mml:mrow></mml:math>Hg at <ce:italic>E</ce:italic><ce:inf>c.m.</ce:inf> ≃ 1.45<ce:italic>V<ce:inf>B</ce:inf></ce:italic>, which is predicted to yield final cross sections of 2.1 mb and 0.87 mb for <ce:sup>203</ce:sup>Ir and <ce:sup>202</ce:sup>Os, respectively. Looking forward, the use of neutron-rich radioactive ion beams would further maximize the production of these rare isotopes by fully leveraging the dynamical and deexcitation advantages identified in this work.</ce:para></ce:section></ce:sections><ce:conflict-of-interest id="sec0006"><ce:section-title id="sctt0008">Declaration of competing interest</ce:section-title><ce:para id="p0043">The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</ce:para></ce:conflict-of-interest><ce:acknowledgment id="ack0001"><ce:section-title id="sctt0009">Acknowledgments</ce:section-title><ce:para id="p0044">The authors are grateful to Dr. Y. J. Feng for valuable discussions and assistance with this work. This work was supported by the Strategic Priority Research Program of the <ce:grant-sponsor id="gs00001" sponsor-id="https://doi.org/10.13039/501100002367">Chinese Academy of Sciences</ce:grant-sponsor> (Grant No. <ce:grant-number id="gn0001" refid="gs00001">XDB34010300</ce:grant-number>), the National Key R&#x0026;D Program of China (Grant Nos. 2023YFA1606404, 2024YFE0109804, 2022YFA1602302, 2023YFA1606402), the <ce:grant-sponsor id="gs00002" sponsor-id="https://doi.org/10.13039/501100001809">National Natural Science Foundation of China</ce:grant-sponsor> (Grants Nos. <ce:grant-number id="gn0002" refid="gs00002">12475127</ce:grant-number>, <ce:grant-number id="gn0003" refid="gs00002">12375130</ce:grant-number>, <ce:grant-number id="gn0004" refid="gs00002">12022501</ce:grant-number>, <ce:grant-number id="gn0005" refid="gs00002">12235020</ce:grant-number>, <ce:grant-number id="gn0006" refid="gs00002">12561160119</ce:grant-number>), the Dean’s Foundation of China Institute of Atomic Energy (Grant No. 12YZ010270624219), the CAS Project for Young Scientists in Basic Research (Grant No. YSBR-002), the Research Program of Heavy Ion Science and Technology Key Laboratory, Institute of Modern Physics, <ce:grant-sponsor id="gs00003" sponsor-id="https://doi.org/10.13039/501100002367">Chinese Academy of Sciences</ce:grant-sponsor> (Grant Nos. <ce:grant-number id="gn0007" refid="gs00001">HIST2024KS04</ce:grant-number>, <ce:grant-number id="gn0008" refid="gs00002">HIST2024CO04</ce:grant-number>), the Longyuan Youth Innovation and Entrepreneurship Talent Project of Gansu Province (Grant No. 24GD13GA005), and Science and Technology Major Project of Gansu Province (Grant No. 2024GZT04).</ce:para></ce:acknowledgment><ce:appendices><ce:section id="sec0007" view="compact-standard"><ce:section-title id="sctt0010">Supplementary material</ce:section-title><ce:para id="p0045">Supplementary material associated with this article can be found in the online version at <ce:inter-ref id="intrrf0001" xlink:href="https://doi.org/10.1016/j.physletb.2026.140614">10.1016/j.physletb.2026.140614.</ce:inter-ref></ce:para></ce:section><ce:section id="sec0005" view="extended"><ce:label>Appendix A</ce:label><ce:section-title id="sctt0011">Supplementary materials</ce:section-title><ce:para id="p0046"><ce:display><ce:e-component id="ecom0001"><ce:label>Supplementary Data S1</ce:label><ce:caption id="cap0005"><ce:simple-para id="sp0006">Test.</ce:simple-para></ce:caption> <ce:alt-text id="at0005" role="short">This is an example of alternate text</ce:alt-text><ce:link id="celink0005" locator="mmc1" xlink:type="simple" xlink:role="http://data.elsevier.com/vocabulary/ElsevierContentTypes/46.1" xlink:href="pii:S0370269326004661/mmc1"/></ce:e-component></ce:display></ce:para></ce:section></ce:appendices></body><tail><ce:bibliography id="bib001" view="all"><ce:section-title id="sctt0012">References</ce:section-title><ce:bibliography-sec id="bibsec002"><ce:bib-reference id="bib0001"><ce:label>[1]</ce:label><sb:reference id="sbref0001"><sb:contribution><sb:authors><sb:author><ce:given-name>G.G.</ce:given-name><ce:surname>Kiss</ce:surname></sb:author><sb:author><ce:given-name>Z.</ce:given-name><ce:surname>Podolyák</ce:surname></sb:author></sb:authors></sb:contribution><sb:host><sb:issue><sb:series><sb:title><sb:maintitle>Eur. 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