Comparison of the Cut-Off Meson Theory with Experiment

Abstract

The cut-off theory for the interaction of pions with nonrelativistic nucleons is tested against experiments involving a single nucleon, with and without the presence of an electromagnetic field. It is concluded that most of the existing information about the $P$-wave pion-nucleon interaction can be understood with a renormalized coupling constant, ${f}^{2}=0.058$ and a cut-off energy, ${\ensuremath{\omega}}_{max}=5.6$ \ensuremath{\mu}. No light is shed on the $S$-wave pion-nucleon interaction.