Baryon-Pion Scattering in the 1/N_c Expansion: Tree Diagram Cancellations
R. Flores-Mendieta, C.P. Hofmann, E. Jenkins
TL;DR
This paper investigates baryon-pion scattering amplitudes within the 1/N_c expansion, deriving large-N_c consistency conditions and simplifying calculations for baryons with small spin, highlighting cancellations in tree diagrams.
Contribution
It introduces generalized large-N_c consistency conditions for baryon-pion scattering amplitudes valid to all orders in baryon mass splittings.
Findings
Derivation of all-order large-N_c consistency conditions
Identification of tree diagram cancellations in baryon-pion scattering
Simplified evaluation method for small-spin baryons
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.
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