Self consistent and covariant propagation of pions, nucleon and isobar resonances in cold nuclear matter

Abstract

We evaluate the in-medium spectral functions for pions, nucleon and isobar resonances in a self consistent and covariant manner. The calculations are based on a recently developed formulation which leads to predictions in terms of the pion–nucleon scattering phase shifts and a set of Migdal parameters describing important short range correlation effects. We do not observe significant softening of pion modes if we insist on reasonable isobar resonance properties but predict a considerable broadening of the N ( 1440 ) and N ( 1520 ) resonances in nuclear matter. Contrasted results are obtained for the s-wave N ( 1535 ) and N ( 1650 ) resonances which are affected by a nuclear environment very little. The properties of slowly moving isobar's in nuclear matter are found to depend very sensitively on a soft form factor in the π N N vertex, which is not controlled by the πN scattering data.