The $[56,4^{+}]$ baryons in the $1/N_c$ expansion

Abstract

Using the $1/N_c$ expansion of QCD we analyze the spectrum of positive parity resonances with strangeness $S=0,-1,-2$ and -3 in the 2-3 GeV mass region, supposed to belong to the $[\text{56},4^{+}]$ multiplet. The mass operator is similar to that of $[\text{56},2^{+}]$, previously studied in the literature. The analysis of the latter is revisited. In the $[\text{56},4^{+}]$ multiplet we find that the spin-spin term brings the dominant contribution and that the spin-orbit term is entirely negligible in the hyperfine interaction, in agreement with constituent quark model results. More data are strongly desirable, especially in the strange sector in order to fully exploit the power of this approach.

18 pages, RevTeX4, minor correction (formula (13))

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Cited by in corpus (43)

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• Odd Parity Light Baryon Resonances
• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Properties of new unflavored mesons below 2.4 GeV
• Generalizing the Noether theorem for Hopf-algebra spacetime symmetries
• Towards understanding broad degeneracy in non-strange mesons
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Electromagnetic Transition Form Factors of Baryon Resonances
• Hydrogen like classification for light nonstrange mesons
• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• Spectrum of low-lying $s^{3}Q\bar{Q}$ configurations with negative parity
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• Theory introduction to baryon spectroscopy
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Decays of Non-Strange Positive Parity Excited Baryons in the 1/Nc Expansion
• The ${\Xi }^{\ast }\bar{K}$ and $\Omega \eta$ interaction within a chiral unitary approach
• Baryon resonances in large $N_c$ QCD
• The permutation group S_N and large Nc excited baryons
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• Highly excited negative parity baryons in the $1/N_c$ expansion
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Model-independent aspects of the reaction $\bar{K}+N\to K+\Xi$
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• Excited $(70,L^{+})$ baryon resonances in the relativistic quark model
• Negative parity baryons in the $1/N_c$ expansion: the quark excitation versus the meson-nucleon resonance picture
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Positive parity pentaquark towers in large Nc QCD
• Hyperons analogous to the Λ(1405)
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion
• Masses of $[70,{\ell }^{+}]$ baryons in large $N_c$ QCD
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons