pi N to Multi-pi N Scattering in the 1/N_c Expansion

TL;DR

This paper extends the 1/N_c meson-baryon scattering formalism to multi-pion nucleon interactions, revealing how baryon resonance structures can be identified through their pole patterns in various final states.

Contribution

It introduces a formalism for analyzing multi-pion nucleon scattering within the 1/N_c expansion, highlighting the role of resonant intermediate states at leading order.

Findings

Resonant intermediate states dominate leading-order processes

Baryon resonance poles are identifiable via specific final states

The formalism provides a method to classify baryon resonances

Abstract

We extend the 1/N_c meson-baryon scattering formalism to pi N to multi-pi N case. We first show that the leading-order large N_c processes proceed through resonant intermediate states (e.g., rho N or pi Delta). We find that the pole structure of baryon resonances can be uniquely identified by their (non)appearance in eta N or mixed partial-wave pi Delta final states.