SU(3)-Symmetry Breaking and Decays of the32−Baryons

Abstract

There exist several coupling-constant sum rules describing the interaction of three arbitrary octets in the presence of octet breaking of $\mathrm{SU}\left(3\right)\mathrm{}$. For decays of the ${\frac{3}{2}}^{-}$ baryon $\gamma$ octet to $D$-wave baryon-pseudoscalar-meson composites, one of the sum rules involves observable modes only. Comparison of the sum rule with experimental data yields a test of the octet-dominance hypothesis, and in addition is potentially a probe of mixing phenomena in excited baryon systems.