Decays of $\ell =1$ Baryons --- Quark Model versus Large-$N_c$

Abstract

We study nonleptonic decays of the orbitally excited, \su6 \rep{70}-plet baryons in order to test the hypothesis that the successes of the nonrelativistic quark model have a natural explanation in the large-$N_c$ limit of QCD. By working in a Hartree approximation, we isolate a specific set of operators that contribute to the observed s- and d-wave decays in leading order in $1/N_c$. We fit our results to the current experimental decay data, and make predictions for a number of allowed but unobserved modes. Our tentative conclusion is that there is more to the nonrelativistic quark model of baryons than large-$N_c$.

LaTeX 49pp. (38 pp. landscape), PicTex, PrePicTex, PostPicTex required for 3 figures, Harvard Preprint HUTP-94/A008. (Two additional operators are included, but conclusions are unchanged.)

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Cited by in corpus (74)

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• Baryon Mass Splittings in the 1/N_c Expansion
• Flavor Symmetry Breaking in the 1/N Expansion
• Operator Analysis of L=1 Baryon Masses in Large N_c QCD
• Phenomenology of the Pentaquark Antidecuplet
• Large N_c Limit of Spin-Flavor Breaking in Excited Baryon Levels
• Masses of Orbitally Excited Baryons in Large N_c QCD
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• Large-N_c Baryons
• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• $1/N_c$ Expansion for Excited Baryons
• Excited Baryons Phenomenology from Large-$N_c$ QCD
• Quadrupole Moments of N and Delta in the 1/N_c Expansion
• 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
• Chiral Unitary Approach To The N*N*pi, N*N*eta Couplings For The N*(1535) Resonance
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Partners of the Theta^+ in Large N_c QCD
• Photoproduction of of l=1 Baryons: Quark Model versus Large N_c
• Phenomenology of Large N_c QCD
• Large N_c, Constituent Quarks, and N, Delta Charge Radii
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• S_3 and the L=1 Baryons in the Quark Model and the Chiral Quark Model
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• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
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• Baryonic mass formula in large $N_c$ QCD versus quark model
• Decays of l=1 Baryons to Delta gamma
• Covariant meson-baryon scattering with chiral and large N_c constraints
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Baryon Exotics in the Quark Model, the Skyrme Model and QCD
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• 1/Nc Countings in Baryons
• The Role of the Roper in QCD
• 1/N Expansion for Exotic 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
• One-pion transitions between heavy baryons in the constituent quark model
• 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
• 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
• Partial Decay Widths of Negative Parity Baryons in the 1/Nc Expansion
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Highly excited negative parity baryons in the $1/N_c$ expansion
• 1/N_c Expansion of the Heavy Baryon Isgur-Wise Functions
• Bosonic Operator Methods for the Quark Model
• Single Pion Transitions of Charmed Baryons
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• $1/m_Q$ and $1/N_c$ Expansions for Excited Heavy Baryons with Light Quarks in the Spin-Flavor Symmetric Representation
• Excited Heavy Baryon Spectrum in Large N_c Heavy Quark Effective Theory
• Excited Baryons in Large $N_c$ QCD
• Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion
• From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
• Pole versus Breit-Wigner resonance description of the orbitally excited baryons
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• pi N --> Multi-pi N Scattering in the 1/N_c Expansion
• 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
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion
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• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons