Resonating group method study of kaon-nucleon elastic scattering in the chiral SU(3) quark model

The chiral SU(3) quark model is extended to include an antiquark in order to study the kaon-nucleon system. The model input parameters b(u), m(u), m(s) are taken to be the same as in our previous work which focused on the nucleon-nucleon and nucleon-hyperon interactions. The mass of the scalar meson sigma is chosen to be 675 MeV and the mixing of sigma(0) and sigma(8) is considered. Using this model the kaon-nucleon S and P partial waves phase shifts of isospin I=0 and I=1 have been studied by solving a resonating group method equation. The numerical results of S-01, S-11, P-01, P-03, and P-11 partial waves are in good agreement with the experimental data while the phase shifts of P-13 partial wave are a little bit too repulsive when the laboratory momentum of the kaon meson is greater than 500 MeV in this present calculation.