Asymmetry in the decay ${\Omega }^{-}\to {\Xi }^{-}\gamma$

Abstract

We consider the asymmetry in the decay ${\Omega }^{-}\to {\Xi }^{-}\gamma$ assuming that a Vector Meson Dominance approach for the $s\to d\gamma$ transition gives the dominant contribution. Since in this long-distance approximation the decay is due to a single quark transition $s\to d\gamma$, the angular distribution asymmetry is given by the single positive asymmetry parameter ${\alpha }_h=\frac{M_s^2-M_d^2}{M_s^2+M_d^2}=0.4\pm 0.1$. We also discuss the asymmetry in $\Xi \to {\Sigma }^{-}\gamma$, which is expected to be between -0.2 and 0.3.

Comments: 16 pages,no figures,LateX