Broken Symmetric Couplings for Decuplet Decays into Baryons and Pseudoscalars

In this approach to $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry breaking we adopt the point of view that perturbation theory may be used to calculate the corrections to the $B^{*}\mathrm{}\left(10\right)\mathrm{BP}$ coupling constants. The symmetry breaking is introduced via Gell-Mann-Okubo mass splittings of both the internal and external lines of the third-order vertex diagram. In this manner we obtain coupling constants which obey the sum rules of Gupta and Singh. This approach seems consistent with the notion that the Gell-Mann-Okubo formulas are themselves based on first-order symmetry breaking in the masses. Our results are compared with those of other authors.