Systematics ofπNscattering in chiral soliton models

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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 πN→πN and πN→πΔ and show that these relations are in reasonably good agreement with experiment.

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