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

Details pi N --> Multi-pi N Scattering in the 1/N_c Expansion pi N --> Multi-pi N Scattering in the 1/N_c Expansion

2006-11-02

arxiv.org/abs/hep-ph/0611035v2

Phys.Rev.D75:016002,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 3 eps figures, ReVTeX4, added reference and discussion, identical to PRD version

Scientific paper

10.1103/PhysRevD.75.016002

We extend the 1/N_c expansion meson-baryon scattering formalism to cases in which the final state contains more than two particles. We first show that the leading-order large N_c processes proceed through resonant intermediate states (e.g., rho N or pi Delta). We then tabulate linear amplitude expressions for relevant processes and 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. We also show that quantitative predictions of pi N to pi Delta branching ratios predicted at leading order alone do not agree with measurements, but the inclusion of 1/N_c corrections is ample to explain the discrepancies.

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