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<p>The Glauber/eikonal model is a widely used tool for studying intermediate- and high-energy nuclear reactions. When calculating the Glauber/eikonal model phase shift functions, the optical limit approximation (OLA) is often used. The OLA neglects the multiple scattering of the constituent nucleons in the projectile and target nuclei. However, the nucleon–target version of the Glauber model (the NTG model) proposed by Abu-Ibrahim and Suzuki includes multiple scattering effects between the projectile nucleons and target nuclei. The NTG model was found to improve the description of the elastic scattering angular distributions and total reaction cross sections of some light heavy-ion systems with respect to the OLA. In this work, we study the single-nucleon removal reactions (SNRRs) induced by carbon isotopes on <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1723_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{12}\hbox {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>12</mn> </mmultiscripts> <mtext>C</mtext> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1723_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{9}\hbox {Be}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>9</mn> </mmultiscripts> <mtext>Be</mtext> </mrow> </math></EquationSource> </InlineEquation> targets using both the NTG model and the OLA. Reduction factors (RFs) of the single-nucleon spectroscopic factors were obtained by comparing the experimental and theoretical SNRR cross sections. On average, the RFs obtained with the NTG model were smaller than those obtained using the OLA by 7.8%, in which the average difference in one-neutron removal was 10.6% and that in one-proton removal was 4.2%. However, the RFs were still strongly dependent on the neutron–proton asymmetry <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1723_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta S\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mi>S</mi> </mrow> </math></EquationSource> </InlineEquation> of the projectile nuclei, even when the NTG model was used.</p>

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Multiple scattering effects in Glauber model descriptions of single-nucleon removal reactions

  • 期刊论文

  • 发表日期：

    2025年6月4日

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  • Rui-Ying Chen,
  • Dan-Yang Pang,
  • Cen-Xi Yuan,
  • Yi-Ping Xu,
  • Wen-Di Chen,
  • Wen-Long Hai,
  • Jing-Jing Yan,
  • Wei-Jia Kong

摘要

The Glauber/eikonal model is a widely used tool for studying intermediate- and high-energy nuclear reactions. When calculating the Glauber/eikonal model phase shift functions, the optical limit approximation (OLA) is often used. The OLA neglects the multiple scattering of the constituent nucleons in the projectile and target nuclei. However, the nucleon–target version of the Glauber model (the NTG model) proposed by Abu-Ibrahim and Suzuki includes multiple scattering effects between the projectile nucleons and target nuclei. The NTG model was found to improve the description of the elastic scattering angular distributions and total reaction cross sections of some light heavy-ion systems with respect to the OLA. In this work, we study the single-nucleon removal reactions (SNRRs) induced by carbon isotopes on \(^{12}\hbox {C}\) 12 C and \(^{9}\hbox {Be}\) 9 Be targets using both the NTG model and the OLA. Reduction factors (RFs) of the single-nucleon spectroscopic factors were obtained by comparing the experimental and theoretical SNRR cross sections. On average, the RFs obtained with the NTG model were smaller than those obtained using the OLA by 7.8%, in which the average difference in one-neutron removal was 10.6% and that in one-proton removal was 4.2%. However, the RFs were still strongly dependent on the neutron–proton asymmetry \(\Delta S\) Δ S of the projectile nuclei, even when the NTG model was used.