Baryon magnetic moments in the SU(3) and the SU(2)$\times$U(1) flavor groups

Abstract

Working within the non relativistic quark model, a two parameter fit to the magnetic moments of baryons is presented. The fit has an excellent~$\chi^2$. The model is based on taking different flavor groups to describe the different magnetic moments. The selection of which group to assign to each baryon is guided by the structure of its wavefunction. The model corresponds to assigning different effective masses to a quark depending on which baryon is being considered. Using the values extracted from the fit, the magnetic moments of the $\Omega^-$ and the $\Delta^{++}$ have been predicted, and the comparison to the existing experimental values is quite satisfactory.