SU(3) flavor symmetry breaking in large $N_c$ excited hyperons

Abstract

The $1/N_c$ expansion method for studying the mass spectrum of excited baryons is shortly reviewed together with applications to mixed symmetric states. The $[70,{\mathbf{\ell }}^{+}]$ multiplet, belonging to the $N$ = 2 band, is reanalyzed, with emphasis on hyperons and the SU(3) symmetry breaking operators entering the mass formula to first order. An important result is that the hierarchy of masses as a function of strangeness is correctly reproduced for all multiplets. Predictions for unknown excited hyperons to SU(6) $\times$ O(3) multiplets are made.

corrected typos. arXiv admin note: substantial text overlap with arXiv:1604.07324

References in corpus (9)

• Extended Partial-Wave Analysis of piN Scattering Data
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Baryon resonances in large $N_c$ QCD
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum