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

最近由京都-新潟小组提出的量子色动力学启发的重子-重子相互作用的自旋味SU_6夸克模型是完整重子八重态（B_8=N、Λ、Σ和E）的统一模型，它对NN和YN相互作用实现了非常准确的描述。特别是，核子-核子（NN）相互作用的最新模型FSS 2是足够准确的比较与最近的现实介子交换模型。通过Faddeev形式和G-矩阵计算，这些夸克-模型相互作用可以用于实际的少重子系统和各种重子物质的计算。为了实现这一点，我们首先制定了一个三集群方程，明确使用两个集群共振群方法（RGM）内核。该方程利用总波函数与两团簇Pauli禁戒态的正交性消除了三团簇冗余成分。交换RGM核中固有的显式能量依赖性是自洽确定的。该方程直接转化为Faddeev方程，该方程使用了由两簇RGM核构造的修改的无奇异性T矩阵（RGM T矩阵）。我们将此方法应用于3 N系统，在不降低氘D态几率的情况下，得到了非常满意的结果。对^9_ΛBe和^6_<ΛΛ>He系统的应用表明，采用2α RGM核的Faddeev形式是非常有前途的，并且我们的fss 2的ΛΛ相互作用与最近的Nagara事件是一致的。

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.