Interplay of the Chiral and Large N_c Limits in pi N Scattering

Details Interplay of the Chiral and Large N_c Limits in pi N Scattering Interplay of the Chiral and Large N_c Limits in pi N Scattering

2006-08-03

arxiv.org/abs/hep-ph/0608038v1

Phys.Rev.D74:056006,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, ReVTeX

Scientific paper

10.1103/PhysRevD.74.056006

Light-quark hadronic physics admits two useful systematic expansions, the chiral and 1/N_c expansions. Their respective limits do not commute, making such cases where both expansions may be considered to be especially interesting. We first study pi N scattering lengths, showing that (as expected for such soft-pion quantities) the chiral expansion converges more rapidly than the 1/N_c expansion, although the latter nevertheless continues to hold. We also study the Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules of pi N scattering, finding that both fail if the large N_c limit is taken prior to the chiral limit.

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