Three-body model for $K(1460)$ resonance

I. Filikhin, R. Kezerashvili, V. Suslov, S. Tsiklauri, B. Vlahovic
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引用次数: 4

Abstract

The three-body $KK\bar K$ model for the $K(1460)$ resonance is developed on the basis of the Faddeev equations in configuration space. A single-channel approach is using with taking into account the difference of masses of neutral and charged kaons. It is demonstrated that a splitting the mass of the $K(1460)$ resonance takes a place around 1460 MeV according to $K^0K^0{\bar K}^0$, $K^0K^+K^-$ and $K^+K^0{\bar K}^0$, $ K^+K^+K^-$ neutral and charged particle configurations, respectively. The calculations are performed with two sets of $KK$ and $K\bar K$ phenomenological potentials, where the latter interaction is considered the same for the isospin singlet and triplet states. The effect of repulsion of the $KK$ interaction on the mass of the $KK\bar K$ system is studied and the effect of the mass polarization is evaluated. The first time the Coulomb interaction for description of the $K(1460)$ resonance is considered. The mass splitting in the $K$(1460) resonances is evaluated to be in range of 10 MeV with taking into account the Coulomb force. The three-body model with the $K\bar K$ potential, which has the different strength of the isospin singlet and triplet parts that are related by the condition of obtaining a quasi-bound three-body state is also considered. Our results are in reasonable agreement with the experimental mass of the $K(1460)$ resonance.
三体模型为$K(1460)$共振
基于位形空间中的Faddeev方程,建立了K(1460)$共振的三体$KK\bar K$模型。考虑到中性介子和带电介子的质量差异,采用了单通道方法。根据K^0K^0{\bar K}^0$、K^0K^+K^-$和K^+K^0{\bar K}^0$、K^+K^+K^-$中性粒子和带电粒子构型,分别证明了K(1460)$共振的质量分裂发生在1460 MeV左右。计算用两组$KK$和$K\bar K$现象学势进行,其中后者的相互作用对于同位旋单重态和三重态被认为是相同的。研究了KK相互作用的斥力对KK\bar K$体系质量的影响,并对质量极化的影响进行了评价。首次考虑了描述K(1460)共振的库仑相互作用。在考虑库仑力的情况下,估计K$(1460)共振的质量分裂在10 MeV范围内。还考虑了具有$K bar K$势的三体模型,该模型的同位旋单线态和三重态的强度不同,这与获得准束缚三体态的条件有关。我们的结果与K(1460)$共振的实验质量基本一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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