Study of S=-1,2 Baryon-Baryon interactions in the reactions between K^- and light nuclei

这项工作的目的是分析反应K^-+d→π+A(Σ)+N，K^-+d→K^++Ξ+N，并获得有关ΛΝ-ΣΝ和ΞΝ-ΛΛ-ΛΣ-ΣΣ相互作用的信息。为了进行可靠的分析，我们特别重视与开发现实的二体相互作用的小组的合作，如A.Ramos和E.Oset(K^^-N相互作用)，Nijmegen小组和京都-Niigata小组(重子-重子相互作用)。同时，这些耦合系统的相对论处理的发展也是主要问题之一，因为包括小质量点在内的系统发生了跃迁。Oset和Ramos的K^^-N振幅被耦合到可能的通道，并用少量的参数再现了各种实验数据。在与A.Ramos的合作中，我们将它们的振幅扩展到了能壳层以外的区域。我们还完成了将Nijmegen扩展软核相互作用(转移到p空间表示)和京都-Niigata夸克-团簇模型相互作用(RGM核)纳入上述分析的准备工作。三体系统的相对论处理是一个严重的问题。通常使用贝特-萨尔彼特方程，但我们将巴坎健-托马斯形式主义推广到ΚΝΝ-πΣΝ-πΛΝ系统，因为非相对论成分(例如，现实的重离子波函数)与这种形式主义很好地结合在一起。我们研究了三体运动学和两体相互作用的推力。如上所述，我们没有达到最初预期的目标，但我们已经解决了目前分析的根本问题。

The aim of this work is to analyze the reactions K^-+d→π+A(Σ)+N,K^-+d→K^++Ξ+N and to get information on ΛΝ-ΣΝ and ΞΝ-ΛΛ-ΛΣ-ΣΣ interactions. In order to perform reliable analyses we lay special importance on the collaboration with the groups developing realistic 2-body interactions, like A.Ramos and E.Oset (K^^-N interaction), the Nijmegen group, and Kyoto-Niigata group (baryon-baryon interactions). Also, the development of relativistic treatment of these coupled systems is one of the main issues because the transition occurs to the system including small-mass pion.The K^^-N amplitude by Oset and Ramos is coupled to possible channels and reproduces various experimental data with a small number of parameter. We extend their amplitude to the off-energy-shell region in the collaboration with A.Ramos. Also we finish the preparation to incorporate the Nijmegen Extended Soft Core interaction (transferred to the p-space representation) and Kyoto-Niigata quark-cluster-model interaction (RGM kernels) to our analyses mention above.The relativistic treatment of 3-body systems is a serious issue. Often the Bete-Salpeter equation has been used, but we have extended the Bakamjian-Thomas formalism to the ΚΝΝ-πΣΝ-πΛΝ system, because the nonrelativistic ingredients (for example, a realistic deuteron wave function) are well combined with this formalism. We investigate the 3-body kinematics and the boost of 2-body interactions from c.m. frame to the general frame.As mentioned above we have not reached to the aim originally expected, but we have solved the essential problems for the present analyses.