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.

Figure 1

KN $S$-wave phase shifts as a function of the laboratory momentum of kaon meson. The solid lines represent the results obtained by considering ${\theta }^S=35.264°$ while the dotted lines ${\theta }^S=-18°$. The hole circles and the triangles correspond respectively to the phase shifts analysis of Hyslop et al. [29] and Hashimoto [30].

Figure 2

KN $P$-wave phase shifts. Same notation as in Fig. 1.