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

Abstract

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.

24 pages, 4 figures

Cited by in corpus (4)

• On the structure of large N cancellations in baryon chiral perturbation theory
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Large $N_c$ Expansion and the Parity Violating $\pi ,N,\Delta$ Couplings
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit