English

Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance

Nuclear Theory 2009-10-28 v1

Abstract

The SU(3)SU(3) chiral effective lagrangian at next-to-leading order is applied to the S-wave meson-baryon interaction in the energy range around the ηN\eta N threshold. Potentials are derived from this lagrangian and used in a coupled channel calculation of the πN\pi N, ηN\eta N, KΛK \Lambda, KΣK \Sigma system in the isospin-1/21/2, l=0l=0 partial wave. Using the same parameters as obtained from a fit to the low energy KN\overline{K} N data it is found that a quasi-bound KΣK \Sigma-state is formed, with properties remarkably similar to the S11(1535)S_{11}(1535) nucleon resonance. In particular, we find a large partial decay width into ηN\eta N consistent with the empirical data.

Keywords

Cite

@article{arxiv.nucl-th/9507036,
  title  = {Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance},
  author = {N. Kaiser and P. B. Siegel and W. Weise},
  journal= {arXiv preprint arXiv:nucl-th/9507036},
  year   = {2009}
}

Comments

9 pages, 6 postscript figures, e-mail: [email protected] ; [email protected] [email protected]