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

F. Huang·Z. Y. Zhang·Y. W. Yu
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Abstract

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 $σ$ is chosen to be 675 MeV and the mixing of $σ_0$ and $σ_8$ 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 (RGM) 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.

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F. Huang, Z. Y. Zhang, Y. W. Yu. 2004-10-22. Resonating group method study of kaon-nucleon elastic scattering in the chiral SU(3) quark model. https://doi.org/10.1103/physrevc.70.044004

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