$1/N_c$ Expansion for Excited Baryons

Details $1/N_c$ Expansion for Excited Baryons $1/N_c$ Expansion for Excited Baryons

1997-07-27

arxiv.org/abs/hep-ph/9707485v2

Phys.Rev. D57 (1998) 1449-1486

Physics

High Energy Physics

High Energy Physics - Phenomenology

56 pages, REVTeX; one new Appendix added containing a discussion of the results in the language of quark operators

Scientific paper

10.1103/PhysRevD.57.1449

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.

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