Baryon Magnetic Moments in the 1/N Expansion

Abstract

Relations among the baryon magnetic and transition magnetic moments are derived in the $1/N_c$ expansion. Relations which hold to ALL ORDERS in $SU(3)$ breaking and to leading and first subleading orders in the $1/N_c$ expansion are obtained. Additional relations are found which are valid up to $SU(3)$ breaking at first subleading order in the $1/N_c$ expansion. The experimental accuracy of these relations fits the pattern predicted by the $1/N_c$ expansion. The predictions of the $1/N_c$ expansion are compared in detail with those of the non-relativistic quark model. The $1/N_c$ expansion explains why certain quark model relations work to greater accuracy than others.

(15 pages, 1 figure. Uses harvmac and uufiles), UCSD/PTH 94-10

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• The 1/N Expansion for Baryons
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• Light Quark Spin-Flavor Symmetry for Baryons Containing a Heavy Quark in Large N QCD
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Cited by in corpus (69)

• Electromagnetic excitation of the Delta(1232)-resonance
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• Electroexcitation of nucleon resonances
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Low-Energy Compton Scattering of Polarized Photons on Polarized Nucleons
• Baryon Mass Splittings in the 1/N_c Expansion
• Baryon magnetic moments in chiral perturbation theory
• Flavor Symmetry Breaking in the 1/N Expansion
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Operator Analysis of L=1 Baryon Masses in Large N_c QCD
• Large N_c Limit of Spin-Flavor Breaking in Excited Baryon Levels
• Masses of Orbitally Excited Baryons in Large N_c QCD
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• Large-N_c Baryons
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• $1/N_c$ Expansion for Excited Baryons
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Baryon Magnetic Moments in Relativistic Quark Models
• Magnetic moments of the SU(3) decuplet baryons in the chiral quark-soliton model
• Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
• Delta --> N gamma in Large-Nc QCD
• Electromagnetic form factors of the Delta with D-waves
• Phenomenology of Large N_c QCD
• Chiral perturbation theory analysis of the baryon magnetic moments revisited
• Magnetic moments of the lowest-lying singly heavy baryons
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Baryons in QCD_{AS} at Large N_c: A Roundabout Approach
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Electromagnetic Transition Form Factors of Baryon Resonances
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Decays of l=1 Baryons to Delta gamma
• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
• Hidden spin-isospin exchange symmetry
• Magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet baryons using effective quark masses in chiral constituent quark model
• Baryon Exotics in the Quark Model, the Skyrme Model and QCD
• Baryon magnetic moments in large-N_c chiral perturbation theory
• Sum rules for baryon decuplet magnetic moments
• Determination of SU(6) Clebsch-Gordan Coefficients and Baryon Mass and Electromagnetic Moment Relations
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• Beam normal spin asymmetry for the $ep\to e\Delta (1232)$ process
• Large-N_c Quark Distributions in the Delta and Chiral Logarithms in Quark Distributions of the Nucleon
• 1/N Expansion for Exotic Baryons
• Negative parity pentaquarks in large Nc QCD and quark model
• Baryon Magnetic Moments in the 1/N_c Expansion with Flavor Symmetry Breaking
• Baryon resonances in large $N_c$ QCD
• Transition magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet to $J^P={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model
• Baryon Magnetic Moments in Alternate 1/N_c Expansions
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Effective field theory and the quark model, II. Structure of loop corrections
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Nucleon to $\Delta$ transition form factors and empirical transverse charge densities
• Bosonic Operator Methods for the Quark Model
• Structure of the nucleon and spin-polarizabilities
• From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
• The SU(3) Vector Currents in BChPT x 1/Nc
• Weak and Electromagnetic Interactions of Hyperons: a Chiral Approach
• Positive parity pentaquark towers in large Nc QCD
• One-loop calculations of hyperon polarizabilities under the large N_c consistency condition
• Spin-Polarizabilities of the Nucleon in Chiral Soliton Model with Dispersion Relation
• Aspects of QCD Current Algebra on a Null Plane
• Mean field baryon magnetic moments and sumrules
• Baryon quadrupole moment in the 1/N(c) expansion of QCD
• A Relativistic Wave Equation for the Skyrmion
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Magnetic field dependence of Delta isobars properties in a Skyrme model
• Strong CP Violation and large-$N_c$ spin-flavor symmetry
• Baryon magnetic moments: Symmetries and relations
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory