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Lower Bound for ppK – Quasi-Bound State Energy
Physics of Particles and Nuclei ( IF 0.6 ) Pub Date : 2020-09-28 , DOI: 10.1134/s1063779620050032
I. Filikhin , B. Vlahovic

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:

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。

更新日期:2020-09-28
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