Complete Analysis of Baryon Magnetic Moments in 1/N_c

Abstract

We generate a complete basis of magnetic moment operators for the N_c = 3 ground-state baryons in the 1/N_c expansion, and compute and tabulate all associated matrix elements. We then compare to previous results derived in the literature and predict additional relations among baryon magnetic moments holding to subleading order in 1/N_c and flavor SU(3) breaking. Finally, we predict all unknown diagonal and transition magnetic moments to <= 0.15 mu_N accuracy, and suggest possible experimental measurements to improve the analysis even further.

28 pages (including 11 tables), ReVTeX. One reference and grant acknowledgment added

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• The 1/N Expansion for Baryons
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• Spin-Flavor Structure of Large N Baryons
• Chiral Perturbation Theory Analysis of the Baryon Magnetic Moments
• Baryon Hyperfine Mass Splittings in Large N QCD
• Masses of the 70- Baryons in Large Nc QCD
• Baryon Mass Splittings in the 1/N_c Expansion
• The reaction $\gamma p\to {\pi }^{\circ }{\gamma }^{\prime }p$ and the magnetic dipole moment of the ${\Delta }^{+}(1232)$ resonance
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• Masses of Orbitally Excited Baryons in Large N_c QCD
• Large-N_c Baryons
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
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• Analysis of the [56,2^+] Baryon Masses in the 1/Nc Expansion
• Quadrupole Moments of N and Delta in the 1/N_c Expansion
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Cited by in corpus (27)

• Magnetic Moments of $J^P=3/2^{+}$ Heavy Baryons Using Effective Mass and Screened Charge Scheme
• Electromagnetic N->Delta transition and neutron form factors
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Baryon magnetic moments in large-N_c chiral perturbation theory
• Sum rules for baryon decuplet magnetic moments
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
• Beam normal spin asymmetry for the $ep\to e\Delta (1232)$ process
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
• Baryon magnetic moments in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Baryon resonances in large $N_c$ QCD
• Baryon Magnetic Moments in the 1/N_c Expansion with Flavor Symmetry Breaking
• Hyperon Radiative Decays in the 1/N_c Expansion
• 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
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Two new sum rules for octet-baryon magnetic moments (μ) and constraints on QCD sum rules from new experimental determination of μ-s for the decuplet
• Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion
• The SU(3) Vector Currents in BChPT x 1/Nc
• Mean field baryon magnetic moments and sumrules
• Baryon magnetic moment in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Sea contribution to the charge radii and quadrupole moment of $J^P={\frac{1}{2}}^{+},{\frac{3}{2}}^{+}$ baryons
• Baryon quadrupole moment in the 1/N(c) expansion of QCD
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion