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28 March 2024
 
  » arxiv » hep-ph/0301219

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Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
Thomas D. Cohen ; Richard. F. Lebed ;
Date 24 Dec 2002
Journal Phys.Rev. D67 (2003) 096008
Subject hep-ph
AbstractWe analyze excited baryon properties via a 1/N_c expansion from two perspectives: as resonances in meson-nucleon scattering, and as single-quark excitations in the context of a simple quark model. For both types of analysis one can derive novel patterns of degeneracy that emerge as N_c --> infty, and that are shown to be compatible with one another. This helps justify the single-quark excitation picture and may give some insight into its successes. We also find that in the large N_c limit one of the S_{11} baryons does not couple to the pi-N channel but couples to the eta-N channel. This is empirically observed in the N(1535), which couples very weakly to the pi-N channel and quite strongly to the eta-N channel. The comparatively strong coupling of the N(1650) to the pi-N channel and weak coupling to eta-N channel is also predicted. In the context of the simple quark model picture we reproduce expressions for mixing angles that are accurate up to O(1/N_c) corrections and are in good agreement with mixing angles extracted phenomenologically.
Source arXiv, hep-ph/0301219
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