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

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dc.creatorCohen, Thomas D.
dc.creatorLebed, Richard F.
dc.date2006-08-03
dc.date.accessioned2026-07-07T12:16:51Z
dc.date.available2026-07-07T12:16:51Z
dc.descriptionLight-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.
dc.description10 pages, ReVTeX
dc.identifierhttps://arxiv.org/abs/hep-ph/0608038
dc.identifierhttp://arxiv.org/abs/hep-ph/0608038
dc.identifierPhys.Rev.D74:056006,2006
dc.identifierdoi:10.1103/PhysRevD.74.056006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211934
dc.subjectHigh Energy Physics - Phenomenology
dc.titleInterplay of the Chiral and Large N_c Limits in pi N Scattering
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