No abstract

We perform a systematic study of the bound state problem of [Formula: see text] and [Formula: see text] systems by using effective interaction in our chiral quark model. Our results show that both the interactions of [Formula: see text] and [Formula: see text] states are attractive, which consequently result in [Formula: see text] and [Formula: see text] bound states.

A dynamical coupled-channel study of K * K * state with isospin 0 and ωφ 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 (N N ) scattering phase shifts, and the hyperon-nucleon (Y N ) cross sections. The results show that the interactions of K * K * states are attractive, which consequently result in K * K * bound states with the binding energies of about 10 − 70 MeV, and contrarily, no ωφ bound state is obtained. The channel coupling effect of K * K * and ωφ is found to be considerably large, which makes the binding of K * K * 5−45 MeV deeper. The plausible interpretation of f0(1710) and X(1812) being K * K * dominated states is briefly discussed.