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arXiv 0911.4013nucl-th
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用四体模型研究A=7等三重态$Λ$超核的结构

Structure of A=7 iso-triplet $Λ$ hypernuclei studied with he four-body model

E. Hiyama, Y. Yamamoto, T. Motoba, M. Kamimura

摘要:

本文在$α+Λ+N+N$四体集团模型框架内研究了T=1等三重态超核$^7_Λ$ He、$^7_Λ$ Li和$^7_Λ$ Be的结构。确定组成亚基之间的相互作用,以便合理地再现所观察到的$αN$、$αΛ$、$αNN$和$αΛN$子系统的低能性质。此外,调整了二体$ΛN$相互作用,以便再现$^4_Λ$ H的$0^+$-$1^+$分裂。还介绍了$ΛN$电荷对称性破缺(CSB)相互作用的唯象。计算了$^7_Λ$ He中基态的$Λ$结合能为5.16(5.36)MeV.计算得到$^7_Λ$ He和$^7_Λ$ Li中$3/2^+$ - $5/2^+$态的能量分裂约为0.1 MeV。指出在$^7_Λ{\rm He}(J=5/2^+)$、$^7_Λ{\rm Li}(J=5/2^+)$和$^7_Λ{\rm Be}(J=1/2^+)$态中,物质分布存在三层结构:$α$粒子、$Λ$皮、质子或中子晕。

英文摘要:

The structure of the T=1 iso-triplet hypernuclei, $^7_Λ$He, $^7_Λ$Li and $^7_Λ$Be within the framework of an $α+Λ+N+N$ four-body cluster model is studied. Interactions between the constituent subunits are determined so as to reproduce reasonably well the observed low-energy properties of the $αN$, $αΛ$, $αNN$ and $αΛN$ subsystems. Furthermore, the two-body $ΛN$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of $^4_Λ$H. Also a phenomenological $ΛN$ charge symmetry breaking(CSB) interaction is introduced. The $Λ$ binding energy of the ground state in $^7_Λ$He is predicted to be 5.16(5.36) MeV with(without) the CSB interaction. The calculated energy splittings of the $3/2^+$-$5/2^+$ states in $^7_Λ$He and $^7_Λ$Li are around 0.1 MeV. We point out that there is a three-layer structure of the matter distribution, $α$ particle, $Λ$ skin, proton or neutron halo, in the $^7_Λ{\rm He}(J=5/2^+)$, $^7_Λ{\rm Li}(J=5/2^+)$ and $^7_Λ{\rm Be}(J=1/2^+)$ states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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