Magnetic moments of the baryon decuplet in a relativistic quark model

The magnetic moments of the baryon decuplet are calculated in a relativistic constituent quark model using the light front formalism. Of particular interest are the magnetic moments of the ${\Omega }^{-}$ and ${\Delta }^{++}$ for which new recent experimental measurements are available. Our calculation for the magnetic moment ratios $\frac{\mu \left({\Delta }^{++}\right)}{\mu \mathrm{}\left(p\right)\mathrm{}}$ and $\frac{\mu \left({\Omega }^{-}\right)}{\mu \left({\Lambda }^0\right)}$ is in excellent agreement with the experimental ratios.