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

Abstract

The masses of the negative parity SU(6) 70-plet baryons are analyzed in the 1/Nc expansion to order 1/Nc and to first order in SU(3) breaking. At this level of precision there are twenty predictions. Among them there are the well known Gell-Mann Okubo and equal spacing relations, and four new relations involving SU(3) breaking splittings in different SU(3) multiplets. Although the breaking of SU(6) symmetry occurs at zeroth order in 1/Nc, it turns out to be small. The dominant source of the breaking is the hyperfine interaction which is of order 1/Nc. The spin-orbit interaction, of zeroth order in 1/Nc, is entirely fixed by the splitting between the singlet states Lambda(1405) and Lambda(1520), and the spin-orbit puzzle is solved by the presence of other zeroth order operators involving flavor exchange.

31 pages, 3 figures

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• QCD and strongly coupled gauge theories: challenges and perspectives
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• SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian
• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
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• The $[56,4^{+}]$ baryons in the $1/N_c$ expansion
• $\Xi$ baryon strong decays in a chiral quark model
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• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Partners of the Theta^+ in Large N_c QCD
• Hidden charm pentaquarks: mass spectrum, magnetic moments, and photocouplings
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
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• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Resonances in QCD
• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• Spectroscopic Investigation of Light Strange S=-1 $\Lambda$, $\Sigma$ and S=-2 $\Xi$ Baryons
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
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• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
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• The Role of the Roper in QCD
• Phenomenology of the Baryon Resonance 70-plet at Large N_c
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Negative-Parity Heavy Pentaquark States in 1/N_c
• Negative parity pentaquarks in large Nc QCD and quark model
• SU(3) Baryon Resonance Multiplets in Large N_c QCD
• Are there three Xi(1950) states?
• A theory of baryon resonances at large N_c
• Baryon resonances in large $N_c$ QCD
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Decays of Non-Strange Positive Parity Excited Baryons in the 1/Nc Expansion
• The permutation group S_N and large Nc excited baryons
• Low energy reactions $K^{-}p\to {\Sigma }^0{\pi }^0$, $\Lambda {\pi }^0$, ${\bar{K}}^{0}n$ and the strangeness $S=-1$ hyperons
• 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
• Partial Decay Widths of Negative Parity Baryons in the 1/Nc Expansion
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Highly excited negative parity baryons in the $1/N_c$ expansion
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• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction
• Aspects of Strangeness -1 Meson-Baryon Scattering
• Quark Forces from Hadron Spectroscopy
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
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• SU(6)$\supset$SU(3)xSU(2) and SU(8)$\supset$SU(4)xSU(2) Clebsch-Gordan coefficients
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• Excited Baryons in Large $N_c$ QCD
• 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
• Operator analysis of effective spin-flavor interactions for L=1 excited baryons
• The Isgur-Karl model revisited
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• Positive parity pentaquark towers in large Nc QCD
• Occupation number formalism for arbitrary Nc baryons
• Towers of positive parity excited baryons and their mixing in the large $N_c$ limit
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• 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
• A modern Fortran library for SU(3) coupling and recoupling coefficients
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons
• Heavy Pentaquarks in the Diquark Model and the Large N_c Expansion