SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion

Abstract

The masses of excited states of mixed orbital symmetry of nonstrange and strange baryons belonging to the lowest $[70,1^{-}]$ multiplet are calculated in the $1/N_c$ expansion to order $1/N_c$ with a new method which allows to considerably reduce the number of linearly independent operators entering the mass formula. This study represents an extension to SU(6) of our work on nonstrange baryons, the framework of which was SU(4). The conclusion regarding the role of the flavor operator, neglected in previous SU(6) studies, is reinforced. Namely, both the flavor and spin operators contribute dominantly to the flavor-spin breaking.

arXiv comment26 pages, 11 tables, to be published in PRD

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• Highly excited negative parity baryons in the $1/N_c$ expansion
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited
• SU(3) Clebsch-Gordan coefficients at large $N_c$
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons