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

N. Kaiser·P. B. Siegel·W. Weise
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Abstract

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

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N. Kaiser, P. B. Siegel, W. Weise. 1995-07-24. Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance. https://doi.org/10.1016/0370-2693(95)01203-3

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