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

Abstract

The structure of the molecule-like state of $NKπ$ with spin-parity $J^π={3/2}^-$ and isospin I=1 is studied within the chiral SU(3) quark model. First we calculate the $NK$, $Nπ$, and $Kπ$ 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 $(NKπ)_{J^π={3/2}^-,I=1}$, and the effect of the mixing to the configuration $(ΔK)_{J^π={3/2}^-,I=1}$ is also considered. The calculated energy is very close to the threshold of the $NKπ$ system. A detailed investigation is worth doing in the further study.