6533b828fe1ef96bd12882fb

RESEARCH PRODUCT

Nucleon resonances inπNscattering up to energiess⩽2.0GeV

subject

description

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 $\ensuremath{\pi},\ensuremath{\eta},N,\ensuremath{\Delta},\ensuremath{\rho}$, and \ensuremath{\sigma} fields. We thereby extend our previous work by including the $\ensuremath{\eta}N$ channel and all the $\ensuremath{\pi}N$ resonances with masses $~2$ GeV, up to the $F$ waves. The effects of the $\ensuremath{\pi}\ensuremath{\pi}N$ channels are taken into account by introducing an effective width in the resonance propagators. The extended model gives an excellent fit to both $\ensuremath{\pi}N$ 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.