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

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

1994-08-11

arxiv.org/abs/nucl-th/9408012v1

Phys.Lett.B341:261-267,1995

Physics

Nuclear Physics

Nuclear Theory

LaTex 10 pages, 4 figures (not included;the postscript-figures are available from ftp@tpri6f.gsi.de in subdirectory pub/sauerm

Scientific paper

10.1016/0370-2693(94)01372-J

A model for $\pi$N scattering and $\eta$-meson production in the S$_{11}$ channel is presented. The model includes $\pi$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 $\pi$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 $\pi^- + p \rightarrow \eta + n$ is obtained without further adjustment of parameters.

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