Leptonic Decay of theΩ

Abstract

We consider the decay $\Omega \to {\Xi }^0+\mathrm{lepton}+\overline{\nu }$. The vector rate may be estimated with the aid of unitary symmetry and the generalized conserved-vector-current hypothesis of Cabibbo. We obtain 1.07×${10}^7$ ${\sec }^{-1\mathrm{}}$ and 0.70×${10}^7$ ${\sec }^{-1\mathrm{}}$ for electronic and muonic decay, respectively. A Goldberger-Treiman relation may be written down for the axial-vector matrix elements, but there does not appear to be enough information to estimate the axial-vector decay rates.