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

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

2004-11-17

arxiv.org/abs/hep-ph/0411222v3

Phys.Rev.C72:065208,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevC.72.065208

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.

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