Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion

Abstract

The masses of positive $[70,0^{+}]$ and $[70,2^{+}]$ nonstrange and strange baryons are calculated in the $1/N_c$ expansion. The approach is based on the separation of a system of $N_c$ quarks into an excited core and an excited quark. The previous work for two flavor baryons is now extended to include strange baryons, to first order in SU(3)-flavor breaking. We show that the extension to $N_f=3$ maintains the regularities previously observed in the behaviour of the linear term in $N_c$, of the spin-spin and of the spin-orbit terms. In particular the contribution of the spin-dependent terms decrease with the excitation energy, the dominant term remaining the spin-spin term.

20 pages, 6 tables, RevTeX4, published version

References in corpus (2)

• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Occupation number formalism for arbitrary Nc baryons

Cited by in corpus (16)

• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Quark-Model Identification of Baryon Ground and Resonant States
• Baryonic mass formula in large $N_c$ QCD versus quark model
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• The permutation group S_N and large Nc excited baryons
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Excited $(70,L^{+})$ baryon resonances in the relativistic quark model
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Positive parity pentaquark towers in large Nc QCD
• Baryon resonances and strong decays
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD