Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV

Details Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV

2007-03-29

arxiv.org/abs/nucl-th/0703096v2

Phys.Rev.C76:035206,2007

Physics

Nuclear Physics

Nuclear Theory

24 pages, 6 figures, 4 tables; corrections were made in Eqs. 33, 38 and in caption of Fig.3

Scientific paper

10.1103/PhysRevC.76.035206

A meson-exchange model for pion-nucleon scattering was previously constructed using a three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, \rho, and \sigma fields. We thereby extend our previous work by including the \eta N channel and all the \pi N resonances with masses ~ 2 GeV, up to the F waves. The effects of the \pi\pi N channels are taken into account by introducing an effective width in the resonance propagators. The extended model gives an excellent fit to both \pi N phase shifts and inelasticity parameters in all channels up to the F waves and for energies below 2 GeV. We present a new scheme to extract the properties of overlapping resonances. The predicted values for the resonance masses and widths as well as resonance pole positions and residues are compared to the listing of the Particle Data Group.

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