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arXiv 0705.3936nucl-th
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唯象核力中的Λ^{ \ast }-超核

Λ^{\ast}-hypernuclei in phenomenological nuclear forces

A. Arai, M. Oka, S. Yasui

发表信息：
Prog.Theor.Phys.119:103-115,2008
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摘要：

作为$\bar{K}$ -核的一种可能的解释，讨论了$Λ(1405)$与核的结合态$Λ^{\ast}$ -超核.推广了Bonn势和Nijmegen势，并将其作为介于$Λ^{\ast}$和$N$之间的唯象势.在$Λ^{\ast}$和$N$相互作用中也考虑了$K$交换潜力。用变分法求解了二体（$Λ^{\ast}N$）和三体（$Λ^{\ast}NN$）系统。结果表明，基态自旋和同位旋分别指定为$Λ^{\ast}N(S=1, I=1/2)$和$Λ^{\ast}NN(S=3/2, I=0)$.通过与实验的比较，讨论了$Λ^{\ast}$超核的结合能.

英文摘要：

The $Λ^{\ast}$-hypernuclei, which are bound states of $Λ(1405)$ and nuclei, are discussed as a possible interpretation of the $\bar{K}$-nuclei. The Bonn and Nijmegen potentials are extended and used as a phenomenological potential between $Λ^{\ast}$ and $N$. The $K$-exchange potential is also considered in the $Λ^{\ast}$ and $N$ interaction. The two-body ($Λ^{\ast}N$) and three-body ($Λ^{\ast}NN$) systems are solved by a variational method. It is shown that the spin and isospin of the ground states are assigned as $Λ^{\ast}N(S=1, I=1/2)$ and $Λ^{\ast}NN(S=3/2, I=0)$, respectively. The binding energies of the $Λ^{\ast}$-hypernuclei are discussed in comparison with experiment.

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