Abstract

The kaonic cluster \(pp{{K}^{ - }}\) is described as \(NN\bar {K}({{s}_{{NN}}} = 0)\) system within the isospin formalism based on the configuration space Faddeev equations. In the model, the isospin singlet \(N\bar {K}\) state is a deeply bound state associated with \(\Lambda (1405)\) hyperon. The phenomenological isospin-dependent \(N\bar {K}\) potentials are used for the calculation of \(pp{{K}^{ - }}\) quasi-bound state energy. The existence of a lower bound for the energy is shown by theoretical and numerical analysis. In contrast to the isospin formalism based model, the isospinless model obtained by isospin averaging \(N\bar {K}\) potential is also considered. The results of both models are compared.

中文翻译：

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ppK的下界–准界态能量

摘要

在isospin形式主义中，kaonic簇\（pp {{K} ^ {-}} \）被描述为\（NN \ bar {K}（{{ ss _ {{NN}}} = 0）\）系统基于配置空间的Faddeev方程。在模型中，同位旋单重态\（N \ bar {K} \）状态是与\（\ Lambda（1405）\）超子相关联的深度绑定状态。依赖于现象学的等旋变的\（N \ bar {K} \）势用于计算\（pp {{{K} ^ {-}} \）准束缚态能量。理论和数值分析表明了能量下限的存在。与基于isospin形式主义的模型相比，通过isospin平均\（N \ bar {K} \）获得的isospinless模型还考虑了潜力。比较两个模型的结果。