N K Pi molecular state with I=1 and J(Pi)=3/2-

Abstract

The structure of the molecule-like state of $NK\pi$ with spin-parity $J^{\pi }={3/2}^{-}$ and isospin I=1 is studied within the chiral SU(3) quark model. First we calculate the $NK$, $N\pi$, and $K\pi$ phase shifts in the framework of the resonating group method (RGM), and a qualitative agreement with the experimental data is obtained. Then we perform a rough estimation for the energy of $(NK\pi {)}_{J^{\pi }={3/2}^{-},I=1}$, and the effect of the mixing to the configuration $(\Delta K{)}_{J^{\pi }={3/2}^{-},I=1}$ is also considered. The calculated energy is very close to the threshold of the $NK\pi$ system. A detailed investigation is worth doing in the further study.

Comments: 11 pages, 3 figures; accepted for publication in Phys. Rev. C