Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$

Abstract

We present explicit formulas for the matrix elements of the SU(6) generators for totally symmetric spin-flavor states, relevant for baryon spectroscopy in large $N_c$ QCD. We rely on the interplay between two different methods to calculate these matrix elements. As an outcome, general analytic formulas of the corresponding SU(6) isoscalar factors are derived for arbitrary $N_c$. These results can be used to study excited states of nonstrange and strange baryons.

Comments: 20 pages, 1 table, RevTeX4, version accepted for publication in Phys. Rev. D