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

F. Huang; Z. Y. Zhang; Y. W. Yu

doi:10.1103/PhysRevC.72.065208

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

High Energy Physics - Phenomenology 2008-11-26 v3 High Energy Physics - Experiment Nuclear Theory

Authors: F. Huang , Z. Y. Zhang , Y. W. Yu

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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.

Keywords

NKπ chiral SU(3) quark model resonating group method phase shifts spin-parity

Cite

@article{arxiv.hep-ph/0411222,
  title  = {N K Pi molecular state with I=1 and J(Pi)=3/2-},
  author = {F. Huang and Z. Y. Zhang and Y. W. Yu},
  journal= {arXiv preprint arXiv:hep-ph/0411222},
  year   = {2008}
}

Comments

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

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

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