We develop the three-body KKK¯ model for the K(1460) resonance based on the Faddeev equations in configuration space. A single-channel approach is utilized that takes into account the difference of masses of neutral and charged kaons. It is demonstrated that the mass splitting of the K(1460) resonance takes a place around 1460 MeV according to K0K0K¯0, K0K+K- and K+K0K¯0, K+K+K- neutral and charged particle configurations, respectively. The calculations are performed with two sets of KK and KK¯ phenomenological potentials, where strength interactions are considered the same for the isospin singlet and triplet states. We study the effect of repulsion of the KK interaction on the mass of the KKK¯ system and evaluate the effect of the mass polarization. The Coulomb interaction for description of the K(1460) resonance is considered for the first time. The mass splitting in the K(1460) resonances is evaluated to be in the range of 10 MeV with taking into account the Coulomb force. The three-body model with the KK¯ potential, which has the different strengths of the isospin singlet and triplet interactions and is related to the condition of obtaining a quasibound three-body state is also considered. Our results are in reasonable agreement with the experimental mass of the K(1460) resonance.

中文翻译：

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K(1460)共振的三体模型

我们基于配置空间中的 Faddeev 方程开发了 K(1460) 共振的三体 KKK¯ 模型。采用单通道方法，考虑到中性和带电 kaons 的质量差异。结果表明，根据 K0K0K¯0、K0K+K- 和 K+K0K¯0、K+K+K- 中性和带电粒子构型，K(1460) 共振的质量分裂发生在 1460 MeV 左右. 使用两组 KK 和 KK¯ 现象学势进行计算，其中同位旋单线态和三线态的强度相互作用被认为是相同的。我们研究了 KK 相互作用的排斥对 KKK¯ 系统质量的影响，并评估了质量极化的影响。首次考虑库仑相互作用来描述 K(1460) 共振。考虑到库仑力，K(1460) 共振中的质量分裂被评估为在 10 MeV 的范围内。还考虑了具有 KK¯ 势的三体模型，它具有不同强度的同位旋单线态和三线态相互作用，并且与获得准束缚三体态的条件有关。我们的结果与 K(1460) 共振的实验质量相当一致。