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

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.