Baryon-Pion Scattering in the 1/Nc Expansion: Tree Diagram Cancellations

Abstract

Tree amplitudes for baryon-pion scattering are studied in the 1/Nc expansion. Generalized large-Nc consistency conditions are obtained to all orders in baryon mass splittings. For baryons with spin J ~ O(1), the leading order in Nc tree amplitudes can be evaluated keeping only terms up to a given finite order in baryon mass splittings.

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