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Study of Hypernuclei using Realistic Hyperon-Nucleon Interactions in the SU_6 Quark Model

在 SU_6 夸克模型中使用真实超子-核子相互作用研究超核

基本信息

批准号：
12640265
负责人：
FUJIWARA Yoshikazu
金额：
$ 2.18万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

项目摘要

The recent QCD-inspired spin-flavor SU_6 quark model for the baryon-baryon interaction, proposed by the Kyoto-Niigata group, is a unified model for the complete baryon octet (B_8=N, Λ, Σ and Ξ), which has achieved very accurate descriptions of the NN and YN interactions. In particular, the nucleon-nucleon (NN) interaction of the most recent model fss2 is accurate enough to compare with recent realistic meson-exchange models. These quark-model interactions can be used for realistic calculations of few-baryon systems and various types of baryonic matter through the Faddeev formalism and G-matrix calculations. In order to achieve this, we first formulated a three-cluster equation which explicitly uses two-cluster resonating-group-method (RGM) kernels. This equation eliminates 3-cluster redundant components by the orthogonality of the total wave function to two-cluster Pauli-forbidden states. The explicit energy dependence inherent in the exchange RGM kernel is self-consistently determined. This equation is straightforwardly transformed into the Faddeev equation, which uses a modified singularity-free T-matrix constructed from the two-cluster RGM kernel (RGM T-matrix). We applied this formalism to the 3N system and obtained very satisfactory result for the triton binding energy without reducing the D-state probability of the deuteron. Applications to ^9_ΛBe and ^6_<ΛΛ>He systems show that the Faddeev formalism using the 2α RGM kernel is very promising and that the ΛΛ interaction of our fss2 is consistent with the recent Nagara event for ^6_<ΛΛ>He.

最近由Kyoto-Niigata小组提出的受qcd启发的重子-重子相互作用的自旋味SU_6夸克模型是一个完整重子八元体（B_8=N， Λ， Σ和Ξ）的统一模型，该模型对NN和YN相互作用实现了非常精确的描述。特别是，最新模型fss2的核子-核子（NN）相互作用足够精确，可以与最近的实际介子交换模型进行比较。这些夸克模型相互作用可以通过Faddeev形式和g矩阵计算用于实际计算少重子系统和各种类型的重子物质。为了实现这一目标，我们首先制定了一个明确使用两簇共振群方法（RGM）内核的三簇方程。该方程通过总波函数与两簇泡利禁态的正交性消除了三簇冗余分量。交换RGM内核中固有的显式能量依赖是自洽确定的。该方程直接转化为Faddeev方程，Faddeev方程使用由两簇RGM核（RGM t矩阵）构造的改进的无奇点t矩阵。我们将这种形式应用于3N体系，在不降低氘核d态概率的情况下，得到了非常令人满意的triton结合能结果。^9_ΛBe和^6_<ΛΛ>He系统的应用表明，使用2α RGM内核的Faddeev形式是非常有前途的，并且我们的fss2的ΛΛ相互作用与^6_<ΛΛ>He最近的Nagara事件是一致的。