Dynamical coupled-channel study of K* K*bar and omega phi states in a chiral quark model

TL;DR

This study investigates K* K*bar and omega phi states using a chiral quark model, finding bound states for K* K*bar but not for omega phi, and highlighting significant channel coupling effects.

Contribution

It applies a dynamical coupled-channel approach within chiral quark models to explore meson states, revealing new bound state predictions and channel coupling effects.

Findings

K* K*bar states are attractive and form bound states with 10-70 MeV binding energies.

No bound omega phi state is found in the models.

Channel coupling deepens K* K*bar binding by 5-45 MeV.

Abstract

A dynamical coupled-channel study of K* K*bar state with isospin 0 and omega phi state is performed within both the chiral SU(3) quark model and the extended chiral SU(3) quark model by solving a resonating group method (RGM) equation. The model parameters are taken from our previous work, which gave a satisfactory description of the energies of the octet and decuplet baryon ground states, the binding energy of the deuteron, the nucleon-nucleon (NN) scattering phase shifts, and the hyperon-nucleon (YN) cross sections. The results show that the interactions of K* K*bar states are attractive, which consequently result in K* K*bar bound states with the binding energies of about 10-70 MeV, and contrarily, no omega phi bound state is obtained. The channel coupling effect of K* K*bar and omega phi is found to be considerably large, which makes the binding of K* K*bar 5-45 MeV deeper. The plausible interpretation of f_0(1710) and X(1812) being K* K*bar dominated states is briefly discussed.