N K and Delta K states in the chiral SU(3) quark model

Details N K and Delta K states in the chiral SU(3) quark model N K and Delta K states in the chiral SU(3) quark model

2004-09-15

arxiv.org/abs/nucl-th/0409029v4

Phys.Rev.C70:064004,2004

Physics

Nuclear Physics

Nuclear Theory

14 pages, 6 figures. PRC70,064004(2004)

Scientific paper

10.1103/PhysRevC.70.064004

The isospin I=0 and I=1 kaon-nucleon $S$, $P$, $D$, $F$ wave phase shifts are studied in the chiral SU(3) quark model by solving the resonating group method (RGM) equation. The calculated phase shifts for different partial waves are in agreement with the experimental data. Furthermore, the structures of the $\Delta K$ states with L=0, I=1 and I=2 are investigated. We find that the interaction between $\Delta$ and $K$ in the case of L=0, I=1 is attractive, which is not like the situation of the $NK$ system, where the $S$-wave interactions between $N$ and $K$ for both I=0 and I=1 are repulsive. Our numerical results also show that when the model parameters are taken to be the same as in our previous $NN$ and $YN$ scattering calculations, the $\Delta K$ state with L=0 and I=1 is a weakly bound state with about 2 MeV binding energy, while the one with I=2 is unbound in the present one-channel calculation.

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