Nucleon resonances in π N scattering up to energies √s ≤2.0 GeV

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 similar to 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, except F-17, up to the F waves and for energies below 2 GeV. We present a new scheme for extracting the properties of overlapping resonances. The predicted values for the resonance masses and widths as well as resonance pole positions and residues are compared with the listing of the Particle Data Group.