The role of $σ$-meson in $ω\to ππγ$ decays and the coupling constant $g_{ωσγ}$

Abstract

We study the $ω\toππγ$ decays by adding to the amplitude calculated within the framework of chiral perturbation theory and vector meson dominance the amplitude of $σ$-meson intermediate state. We estimate the coupling constant $g_{ωσγ}$ utilizing the experimental value of the $ω\toπ^{0}π^{0}γ$ decay rate.