Towers of baryons of the N=2 quark model band in the large Nc limit

Abstract

We perform a complete analysis of the spectrum of all the states in the N=2 quark model harmonic oscillator band with Nf=3 in the large Nc limit including the often disregarded antisymmetric multiplet [20,1+]. We include configuration mixing effects. We find that the states in the [56,L+] and [70,L+] with L=0, 2 fall into nine towers of degenerate states. We find that nonstrange antisymmetric states fall into three towers and respond to the same structure as the states in the [70,1-] multiplet. We also show explicitly the compatibility of these results and the scattering resonance picture.