Abstract

An estimate is made for the contribution of the decuplet poles to the weak decays of hyperons using the Rarita-Schwinger formalism for spin-$\frac{3}{2}$ fields. $\mathrm{SU}(3)$ symmetry is used in conjunction with the Gourdin-Salin model for the $D\ensuremath{-}B\ensuremath{-}\ensuremath{\pi}$ and $D\ensuremath{-}B\ensuremath{-}\ensuremath{\gamma}$ couplings. It is shown that the decuplet contribution is large for the parity-violating amplitudes. For weak-electromagnetic decays, this predicts asymmetry parameters which are at variance with earlier calculations. The decay rate for ${\ensuremath{\Sigma}}^{+}\ensuremath{\rightarrow}p\ensuremath{\gamma}$ agrees well with the experimental result.

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