Decay Rates of the Decuplet Resonances from O(3, 1)⊗SU(3) Dynamics. Definite SU(3) Symmetry Breaking

The simplest dynamical group including SU(3), O(3, 1)⊗ SU(3), is used to describe the decay widths of the $j^P={\frac{3}{2}}^{+}$ decuplet resonances. SU(3) breaking comes in naturally (and uniquely) through the mass differences in the multiplet. The only two parameters of the theory have been fixed in an independent fit of the $I=\frac{3}{2}$ baryon decay rates for different spins. The agreement with experiment is excellent.