Systematics of<i>πN</i>scattering in chiral soliton models

Abstract

We study the spin and isospin structure of pion-nucleon scattering amplitudes in the class of models, including the Skyrme model, in which the nucleon arises as a soliton built of pion fields. We derive general energy-independent linear relations among partial-wave amplitudes for the processes \ensuremath{\pi}N\ensuremath{\rightarrow}\ensuremath{\pi}N and \ensuremath{\pi}N\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\Delta} and show that these relations are in reasonably good agreement with experiment.