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.

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

References in corpus (39)

• Extended Partial-Wave Analysis of piN Scattering Data
• The 1/N Expansion for Baryons
• Properties of baryon resonances from a multichannel partial wave analysis
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• Progress Toward Understanding Baryon Resonances
• 1/N Corrections to the Baryon Axial Currents in QCD
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Baryons from Quarks in the $1/N$ Expansion
• On Spin Independence in Large $N_c$ Baryons
• Baryon Hyperfine Mass Splittings in Large N QCD
• Baryon Mass Splittings in the 1/N_c Expansion
• Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$
• Operator Analysis of L=1 Baryon Masses in Large N_c QCD
• Large N_c Limit of Spin-Flavor Breaking in Excited Baryon Levels
• Xi and Omega baryons in the Skyrme model
• Masses of Orbitally Excited Baryons in Large N_c QCD
• Large-N_c Baryons
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• Decays of $\ell =1$ Baryons --- Quark Model versus Large-$N_c$
• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• 1/Nc corrections to the SU(4)_c symmetry for L=1 baryons: The Three Towers
• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• Predictions for Decays of Radially Excited Baryons
• New Relations for Excited Baryons in Large N_c QCD
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Multichannel parametrization of $\bar{K}N$ scattering amplitudes and extraction of resonance parameters
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Partial wave analysis of J/psi to p pbar pi0
• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
• 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
• Highly excited negative parity baryons in the $1/N_c$ expansion
• Matrix elements of SU(6) generators for baryons with arbitrary $N_c$ quarks in mixed symmetric states $[N_c-1,1]$
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• 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