Baryon Magnetic-Moment Sum Rules in BrokenSU3andSU6Symmetries

The $\varphi -\omega$ mixing model for the breaking of $S{U}_3$ symmetry has been used to obtain sum rules for the magnetic moments of the octet baryons in broken $S{U}_3$ and $S{U}_6$. The contributions of the vector couplings are assumed to be dominant over those of the tensor couplings in the self-energy effects of the model. It is found that the sum rules obtained are consistent with the magnetic moments of $S{U}_6$ symmetry (Coleman-Glashow relations plus ${\mu }_p=-\frac{3}{2}{\mu }_n$) modified by appropriate mass ratios only under very restrictive choice of values for the parameters that occur in our model.