Pion condensation in neutron matter: Effects of pion-nucleon scattering

Using the off-shell model for $\pi N$ scattering based upon current algebra and a dispersion-theoretical axial-vector nucleon amplitude dominated by the $\Delta \mathrm{}\left(1230\right)\mathrm{}$ isobar, we investigate the critical density for the onset of pion condensation in neutron matter. We find that condensation occurs at approximately nuclear-matter density assuming nucleon-nucleon correlations are neglected. The repulsive nature of the latter should presumably push up this critical density.