Spin-flavor structure of largeNcbaryons

1994/11/07 by Roger Dashen, Elizabeth Jenkins, Aneesh V. Manohar · 22 citations
Engineering · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.51.3697

published as Phys.Rev.D51:3697-3727,1995 · 36 pages, 2 eps figures, uses revtex

arxiv created 1994/11/07 · openalex publication_date 1995/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The spin-flavor structure of large N_c baryons is described in the 1/N_c expansion of QCD using quark operators. The complete set of quark operator identities is obtained, and used to derive an operator reduction rule which simplifies the 1/N_c expansion. The operator reduction rule is applied to the axial vector currents, masses, magnetic moments, and hyperon nonleptonic decay amplitudes in the SU(3) limit, to first order in SU(3) breaking, and without assuming SU(3) symmetry. The connection between the Skyrme and quark operator representations is discussed. An explicit formula is given for the quark model operators in terms of the Skyrme model operators to all orders in 1/N_c for the two flavor case.

Citations

• Baryon hyperfine mass splittings large N QCD
• Hyperfine mass splittings of baryons containing a heavy quark in large N QCD
• A non-linear field theory
• Light quark spin-flavor symmetry for baryons containing a heavy quark in large N QCD

Cited by

• The Gell-Mann–Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Chiral dynamics of baryons from string theory
• SU(3)symmetry breaking in hyperon semileptonic decays
• Model Independent Tests of Skyrmions and Their Holographic Cousins
• Sum rules for baryon decuplet magnetic moments
• Wave function of[70,1−]baryons in the1/Ncexpansion
• Consistency of the Baryon-Multimeson Amplitudes for Large-NcQCD Feynman Diagrams
• Recoil order chiral corrections to baryon octet axial vector currents and largeNcQCD
• Parity doubling among the baryons
• From effective Lagrangians, to chiral bags, to Skyrmions with the large-Ncrenormalization group
• SU(6)[70,1−]baryon multiplet in the1/Ncexpansion
• Compatibility of quark and resonant picture excited baryon multiplets in the1/Ncexpansion of QCD
• Lattice test of1/Ncbaryon mass relations
• Photoproduction ofl=1baryons: Quark model versus largeNcQCD
• On the nature of the and from their behavior in chiral dynamics
• LARGE-Nc BARYONS
• Light-front representation of chiral dynamics with Δ isobar and large-N c relations
• Nucleon-nucleon scattering under spin-isospin reversal in large-NcQCD
• Baryon Regge trajectories in the light of the 1/Nc expansion
• Electromagnetic properties of the Δ in the large Nc and chiral limits
• A tale of two skyrmions: The nucleon's strange quark content in different large Nc limits
• A conjecture about hadrons