V0→P0P0γdecay rates

The radiative decay processes of the type $V^0\to P^0{P}^0\gamma$ are described by the gauged Wess-Zumino terms in a low-energy effective Lagrangian, there being no bremsstrahlung contributions. Using such an effective Lagrangian, describing pseudoscalar and vector mesons, we have calculated the branching ratios for the decays $\omega \to {\pi }^0{\pi }^0\gamma$, $\omega \to {\pi }^0\eta \gamma$, $\rho \to {\pi }^0{\pi }^0\gamma$, $\rho \to {\pi }^0\eta \gamma$, $\phi \to {\pi }^0{\pi }^0\gamma$, $\phi \to {\pi }^0\eta \gamma$, and $\phi \to K^0{\overline{K}}^0\gamma$. Since scalar mesons have been neglected, these rates provide estimates of the expected backgrounds in searches for $J^{\pi }=0^{+}$ resonances, particularly the possible four-quark states in $\phi$ decays.