Magnetic moments of the 3/2 resonances and their quark spin structure

Abstract

We discuss magnetic moments of the $J=3/2$ baryons based on an earlier model for the baryon magnetic moments, allowing for flavor symmetry breaking in the quark magnetic moments as well as a general quark spin structure. From our earlier analysis of the nucleon-hyperon magnetic moments and the measured values of the magnetic moments of ${\Delta }^{++}$ and ${\Omega }^{-}$ we predict the other magnetic moments and deduce the spin structure of the resonance particles. We find from experiment that the total spin polarization of the decuplet baryons, $\Delta \Sigma (3/2)$, is considerably smaller than the non-relativistic quark model value of 3, although the data is still not good enough to give a precise determination.

13 pages, REVTeX, 2 figures, minor clarifying changes

References in corpus (5)

• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• Decuplet Baryon Structure from Lattice QCD
• Magnetic Moments of the Baryon Decuplet in a Relativistic Quark Model
• Electromagnetic Moments of the Baryon Decuplet
• Flavor symmetry breaking in quark magnetic moments

Cited by in corpus (8)

• QCD Equalities for Baryon Current Matrix Elements
• Determination of Decuplet Baryon Magnetic Moments from QCD Sum Rules
• Decuplet Baryon Magnetic Moments in the Chiral Quark Model
• Electromagnetic form factors of the Delta with D-waves
• Sum rules for baryon decuplet magnetic moments
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Proton Compton scattering in a unified proton-Delta Model
• Is there a mass dependence in the spin structure of baryons?