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

• 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
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640265/
• 关键词: Quark Model; Hyperon-Nucleon Interaction; Hyperon-Hyperon Interaction; Strangeness; Resonating-Group Method; Hypernuclei; ストレィンジネス

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.

Baryon-Baryon相互作用的最新QCD SU_6 Quark模型，kyoto-niigata组r完整的Baryon Octet（B_8 = n，λ，σ和ξ），它非常准确地描述了NN和In In In In In特别是，最多的模型FSS2的核子核子（NN）相互作用是与现实的介子交换模型相比，这些Quark-Model的相互作用可以计算几个 - 巴里元系统和Baryonic Matter他的计算。我们首先制定了一个三个集群的方程，该方程式使用了两个群集的谐振组 - 方法（RGM）内核交换RGM内核中的依赖性是自我确定的。对于Triton的结合，降低了deuteron的d态概率。与最近的Nagara事件有关 ^6_<λ>He。

项目成果

高橋 仁(H.Takahashi): "Observation of a ^6_∧∧ He double hypernucleus"Physical Review Letters. 87巻・21号. 212502-1-212502-5 (2001)

H.Takahashi：“^6_∧∧ He 双超核的观察”《物理评论快报》第 87 卷，第 21 期。212502-1-212502-5 (2001)

仲本 朝基(C.Nakamoto): "ΞN interaction in the SU_6 quark model"Nuclear Physics A. 691巻・1,2号. 238c-241c (2001)

C. Nakamoto：“SU_6 夸克模型中的ΞN 相互作用”《核物理 A》第 691 卷，第 1 期和第 2 期。238c-241c (2001)

Y. Fujiwara, H. Nemura, Y. Suzuki, K. Miyagawa, M. Kohno: "Three-Cluster Equation Using Two-Cluster RGM Kernel"Progress of Theoretical Physics. 107. 745-757 (2002)

Y. Fujiwara、H. Nemura、Y. Suzuki、K. Miyakawa、M. Kohno：“使用二簇 RGM 核的三簇方程”理论物理进展。

Y. Fujiwara, M. Kohno, C. Nakamoto, Y. Suzuki: "G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction"Progress of Theoretical Physics. 104. 1025-1040 (2000)

Y. Fujiwara、M. Kohno、C. Nakamoto、Y. Suzuki：“重子-重子相互作用的夸克模型共振群方法中的 G 矩阵方程”理论物理进展。

根村 英克(H.Nemura): "Ab Initio Approach to s-Shell Hypernuclei, ^3_ΛH, ^4_ΛH, ^4_ΛHe and ^5_ΛHe with a Realistic ΛN-ΣN Interaction"Physical Review Letters. 89巻・14号. 142504-1-142504-4 (2002)

H.Nemura：“从头计算 s 壳层超核方法，^3_ΛH、^4_ΛH、^4_ΛHe 和 ^5_ΛHe 与现实的 ΛN-ΣN 相互作用”《物理评论快报》第 89 卷，第 14 期。142504-1 -142504 -4 (2002)