EPJ

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EPJ A - Hadrons and Nuclei
Hadrons and Nuclei
Eur. Phys. J. A 4, 187-194

Pion-nucleon scattering in the K-matrix approach

A.B. Gridnev - N.G. Kozlenko

Petersburg Nuclear Physics Institute, Gatchina, Leningrad district, 188350, Russia (e-mail: gridnev@hep486.pnpi.spb.ru)

Received: 9 July 1998 Communicated by V.V. Anisovich

Abstract
The K-matrix approach with effective Lagrangians is used to describe the S and P pion-nucleon partial-wave amplitudes in the energy range $E_{lab} \le 1$ GeV. It is demonstrated, that treating the resonance as K-matrix a pole gives the natural way to separate the resonance and non-resonance parts of the $\pi N$ amplitude. The model includes all the four-star $\pi N$ resonances, the non-resonance contributions are calculated from relevant Feynman graphs without any phenomenological form factors. Different contributions to the inelastic $\pi^-p \to \eta n$ amplitude are estimated.

PACS
14.20.Gk Baryon resonances - 13.75.Eg Partial wave analysis

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