Baryon quadrupole moment in the 1/N(c) expansion of QCD

Abstract

The quadrupole moments of ground state baryons are discussed in the framework of the 1/N(c) expansion of QCD, where N(c) is the number of color charges. Theoretical expressions are first provided assuming an exact SU(3) flavor symmetry, and then the effects of symmetry breaking are accounted for to linear order. The rather scarce experimental information available does not allow a detailed comparison between theory and experiment, so the free parameters in the approach are not determined. Instead, some useful new relations among quadrupole moments, valid even in the presence of first-order symmetry breaking, are provided. The overall predictions of the 1/N(c) expansion are quite enlightening.

20 pages, 7 tables

References in corpus (10)

• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• The nucleon to Delta electromagnetic transition form factors in lattice QCD
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• Magnetic Dipole, Electric Quadrupole and Magnetic Octupole Moments of the $\Delta$ Baryons in Light Cone QCD Sum Rules
• Electric Quadrupole and Magnetic Octupole Moments of the Light Decuplet Baryons Within Light Cone QCD Sum Rules
• Sum rules for baryon decuplet magnetic moments
• Octet baryon magnetic moments from QCD sum rules
• Quadrupole moments of low lying baryons with spin 1/2^+, spin 3/2^+, and spin 3/2^+ \to 1/2^+ transitions

Cited by in corpus (1)

• Spin and flavor projection operators in the $SU(2N_f)$ spin-flavor group