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.

26 pages, 11 tables, to be published in PRD

References in corpus (6)

• Quark-Model Identification of Baryon Ground and Resonant States
• Structure of the Lambda(1405) baryon resonance from its large Nc behavior
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion

Cited by in corpus (2)

• Baryon resonances in large $N_c$ QCD
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons