Quadrupole Moments of N and Delta in the 1/N_c Expansion

Abstract

We calculate expressions for the quadrupole moments of nonstrange baryons in which the number of QCD color charges is N_c. Using only the assumption of single-photon exchange, we obtain 4 relations among the 6 moments, and show how all of them may be obtained from Q_{Δ^+ p} up to O(1/N_c^2) corrections. We compare to the N_c=3 case, and obtain relations between the neutron charge radius and quadrupole moments. We also discuss prospects for the measurement of these moments.

15 pages, 0 figures, ReVTeX4. Minor wording changes; reference added

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Cited by in corpus (50)

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• Electromagnetic excitation of the Delta(1232)-resonance
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• Electric quadrupole and magnetic octupole moments of the Delta
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Delta --> N gamma in Large-Nc QCD
• Electromagnetic form factors of the Delta with D-waves
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• Electromagnetic N->Delta transition and neutron form factors
• Baryon Charge Radii and Quadrupole Moments in the 1/N_c Expansion: The 3-Flavor Case
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Excited Baryon Decay Widths in Large N_c QCD
• Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities
• 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
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet baryons using effective quark masses in chiral constituent quark model
• Decays of Non-strange Negative Parity Baryons in the 1/Nc Expansion
• Electromagnetic form factors of the Delta in a S-wave approach
• Spectroscopic Investigation of Light Strange S=-1 $\Lambda$, $\Sigma$ and S=-2 $\Xi$ Baryons
• Spectroscopy of Light Baryons: $\Delta$ Resonances
• Delta-to-N-gamma Coulomb Quadrupole Amplitude in PQCD
• $N^{\ast }$ Form Factors based on a Covariant Quark Model
• Parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors and Siegert's theorem
• Improved empirical parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ and ${\gamma }^{\ast }N\to N(1520)$ helicity amplitudes and the Siegert's theorem
• Pion Photoproduction Amplitude Relations in the 1/N_c Expansion
• Baryon resonances in large $N_c$ QCD
• New low-$Q^2$ measurements of the ${\gamma }^{\ast }N\to \Delta (1232)$ Coulomb quadrupole form factor, pion cloud parametrizations and Siegert's theorem
• 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
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Electromagnetic Properties of the Delta in the Large N and Chiral Limits
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Nucleon deformation and atomic spectroscopy
• Non-spherical proton shape and hydrogen hyperfine splitting
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Electromagnetic multipole moments of baryons
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Sea contribution to the charge radii and quadrupole moment of $J^P={\frac{1}{2}}^{+},{\frac{3}{2}}^{+}$ baryons
• Ernest Henley and the shape of baryons
• Baryon quadrupole moment in the 1/N(c) expansion of QCD
• Baryons with functional methods
• Excited nucleon electromagnetic form factors from broken spin-flavor symmetry