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Resonance Model for $π$N Scattering and $η$-Meson Production in the s$_{11}$ Channel

Ch. Sauermann·B. L. Friman·W. Nörenberg
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Abstract

A model for $π$N scattering and $η$-meson production in the S$_{11}$ channel is presented. The model includes $π$N-scattering Born terms as well as the N$^*${} resonances S$_{11}$(1535) and S$_{11}$(1610). The $T$-matrix is computed in the $K$-matrix approximation. The parameters of the model are determined by fitting the elastic $π$N-scattering $T$-matrix to empirical data. We find an excellent fit for all energies up to $\sqrt{s}$ = 1.75 GeV. Furthermore, a good description of the cross section for $π^- + p \rightarrow η+ n$ is obtained without further adjustment of parameters.

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Ch. Sauermann, B. L. Friman, W. Nörenberg. 1994-08-11. Resonance Model for $π$N Scattering and $η$-Meson Production in the s$_{11}$ Channel. https://doi.org/10.1016/0370-2693(94)01372-j

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