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

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