%0 Journal Article
%T $1/N_c$ Expansion for Excited Baryons
%A Dan Pirjol
%A Tung-Mow Yan
%J Physics
%D 1997
%I arXiv
%R 10.1103/PhysRevD.57.1449
%X We derive consistency conditions which constrain the possible form of the strong couplings of the excited baryons to the pions. The consistency conditions follow from requiring the pion-excited baryon scattering amplitudes to satisfy the large-N_c Witten counting rules and are analogous to consistency conditions used by Dashen, Jenkins and Manohar and others for s-wave baryons. The consistency conditions are explicitly solved, giving the most general allowed form of the strong vertices for excited baryons in the large-N_c limit. We show that the solutions to the large-N_c consistency conditions coincide with the predictions of the nonrelativistic quark model for these states, extending the results previously obtained for the s-wave baryons. The 1/N_c corrections to these predictions are studied in the quark model with arbitrary number of colors N_c.
%U http://arxiv.org/abs/hep-ph/9707485v2