Theφ−ωMixing Angle

Abstract

Under the assumption of vector-meson dominance for the decays ${\pi }^0\to 2\gamma$, $\omega \to 3\pi$, and $\phi \to \rho +\pi$, we obtain the $\phi -\omega$ mixing angle from the observed decay rates for these processes. The mixing angles thus obtained are smaller than the Okubo-Sakurai value derived from the Gell-Mann-Okubo mass formula for the vector-meson octet. The lower mixing angles obtained here correspond to only a small violation (less than 10%) of the mass-square formula. Further possible checks on the mixing angles obtained here, as well as on the hypothesis of $\phi -\omega$ mixing and the vector-meson dominant model are discussed.