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

Abstract

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.

arXiv comment10 pages, ReVTeX

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Cited by in corpus (13)

• Electromagnetic excitation of the Delta(1232)-resonance
• The chiral condensate in a constant electromagnetic field
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Exotic hadrons in s-wave chiral dynamics
• Magnetization of the QCD vacuum at large fields
• Decuplet contribution to the meson-baryon scattering lengths
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• On Skyrmion semiclassical quantization in the presence of an isospin chemical potential
• 1/N_c Corrections in Meson-Baryon Scattering
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• Meson coupling constants at high mass and large N_c