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

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 $K^0{K}^0{\bar{K}}^0$, $K^0{K}^{+}{K}^{-}$ 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.

16 pages 8 figures

References in corpus (20)

• Exotics: Heavy Pentaquarks and Tetraquarks
• Baryons as relativistic three-quark bound states
• Chiral symmetry breaking in continuum QCD
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Hadron Properties and Dyson-Schwinger Equations
• Distribution Functions of the Nucleon and Pion in the Valence Region
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Three body resonances in two meson-one baryon systems
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• anti-K anti-K N molecule state in three-body calculation
• The K+K+ Scattering Length from Lattice QCD
• The $\bar{K}NN$ system with chiral dynamics
• Nonperturbative light-front Hamiltonian methods
• Dynamical generation of pseudoscalar resonances
• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials
• Accuracy of Auxiliary Field Approach for Baryons
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Universality in QCD and Halo Nuclei

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