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<p>The neutron-rich nucleus <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^{22}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>22</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C, located at the neutron drip line, exhibits intriguing structural properties, such as its Borromean nature and potential two-neutron halo configuration. Despite experimental advancements, uncertainties persist in the two-neutron separation energy <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(S_\text{2n}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mtext>2n</mtext> </msub> </math></EquationSource> </InlineEquation> and the radius of matter for this attractive nucleus <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{22}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>22</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C. In this study, we employed the three-body Faddeev approach to investigate the ground-state properties of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{22}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>22</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C, constrained by the recently deduced matter radius. By optimizing the neutron-core and three-body interactions to reproduce the experimental radius, the two-neutron separation energy <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(S_\text{2n}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mtext>2n</mtext> </msub> </math></EquationSource> </InlineEquation> was redetermined, revealing a weakly bound system dominated by the <i>s</i>-wave configuration. Additionally, an excited state exhibiting an Efimov-like pattern was identified by analyzing the specific density distributions and relative distances in the three-body system, highlighting the geometric similarity between the ground and excited states.</p>

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Reexamined mass of \(^{22}\)C via the constraint from the recently experimental extraction of its radius

  • 期刊论文

  • 发表日期：

    2026年2月24日

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  • Yi-Le Fan,
  • Qing-Rui Sun,
  • Cheng-Jun Feng,
  • Yi-Bin Qian,
  • Dong Bai

摘要

The neutron-rich nucleus \(^{22}\) 22 C, located at the neutron drip line, exhibits intriguing structural properties, such as its Borromean nature and potential two-neutron halo configuration. Despite experimental advancements, uncertainties persist in the two-neutron separation energy \(S_\text{2n}\) S 2n and the radius of matter for this attractive nucleus \(^{22}\) 22 C. In this study, we employed the three-body Faddeev approach to investigate the ground-state properties of \(^{22}\) 22 C, constrained by the recently deduced matter radius. By optimizing the neutron-core and three-body interactions to reproduce the experimental radius, the two-neutron separation energy \(S_\text{2n}\) S 2n was redetermined, revealing a weakly bound system dominated by the s-wave configuration. Additionally, an excited state exhibiting an Efimov-like pattern was identified by analyzing the specific density distributions and relative distances in the three-body system, highlighting the geometric similarity between the ground and excited states.