Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion

Abstract

The mass spectrum of the positive parity [56,2^+] baryons is studied in the 1/Nc expansion up to and including O(1/Nc) effects with SU(3) symmetry breaking implemented to first order. A total of eighteen mass relations result, several of which are tested with the available data. The breaking of spin-flavor symmetry is dominated by the hyperfine interactions, while spin-orbit effects are found to be small.

13 pages

References in corpus (1)

• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion

Cited by in corpus (65)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Hadronic Spectrum of a Holographic Dual of QCD
• Excited state baryon spectroscopy from lattice QCD
• SU(N) gauge theories at large N
• Progress Toward Understanding Baryon Resonances
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Odd Parity Light Baryon Resonances
• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• $\Xi$ baryon strong decays in a chiral quark model
• Partners of the Theta^+ in Large N_c QCD
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• The $\Omega (2012)$ as a hadronic molecule
• Coupled channels dynamics in the generation of the $\Omega (2012)$ resonance
• A possible interpretation of the newly observed $\Omega (2012)$ state
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• Molecular picture for the $\Omega (2012)$ revisited
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Electromagnetic Transition Form Factors of Baryon Resonances
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Light flavor baryon spectrum with higher order hyperfine interactions
• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Spectrum of low-lying $s^{3}Q\bar{Q}$ configurations with negative parity
• 1/Nc Countings in Baryons
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Negative parity pentaquarks in large Nc QCD and quark model
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Theory introduction to baryon spectroscopy
• Are there three Xi(1950) states?
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Baryon resonances in large $N_c$ QCD
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• The ${\Xi }^{\ast }\bar{K}$ and $\Omega \eta$ interaction within a chiral unitary approach
• Decays of Non-Strange Positive Parity Excited Baryons in the 1/Nc Expansion
• The permutation group S_N and large Nc excited baryons
• 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
• 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
• Model-independent aspects of the reaction $\bar{K}+N\to K+\Xi$
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• Negative parity baryons in the $1/N_c$ expansion: the quark excitation versus the meson-nucleon resonance picture
• The Isgur-Karl model revisited
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• Positive parity pentaquark towers in large Nc QCD
• Occupation number formalism for arbitrary Nc baryons
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Hyperons analogous to the Λ(1405)
• Towers of baryons of the $\mathcal{N}=2$ quark model band in the large $N_c$ limit
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons
• Masses of $[70,{\ell }^{+}]$ baryons in large $N_c$ QCD