The role of $\sigma$-meson in $\omega \to \pi \pi \gamma$ decays and the coupling constant $g_{\omega \sigma \gamma }$

Abstract

We study the $\omega \to \pi \pi \gamma$ decays by adding to the amplitude calculated within the framework of chiral perturbation theory and vector meson dominance the amplitude of $\sigma$-meson intermediate state. We estimate the coupling constant $g_{\omega \sigma \gamma }$ utilizing the experimental value of the $\omega \to {\pi }^0{\pi }^0\gamma$ decay rate.

12 Pages, LATEX, 4 Figures

References in corpus (1)

• Hadronic Structure in the Decay ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{\pi }^0{\pi }^0$ and the Sign of the Tau Neutrino Helicity

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• Chiral loops and VMD in the V->PPgamma decays
• Interference effects in the decay ϕ\to π^{0}π^{0}γand the coupling constant g_{ϕσγ}
• Higher meson resonances in $\rho \to {\pi }^0{\pi }^0\gamma$ and $\omega \to {\pi }^0{\pi }^0\gamma$
• The $\omega \sigma \gamma$-vertex in light cone QCD sum rules
• VMD, chiral loops, sigma-meson, and omega-rho mixing in omega-->pi^0 pi^0 gamma decay
• rho(omega)-> pi^0 pi^0 gamma, rho(omega) -> eta pi^0 gamma decays in the local quark Nambu--Jona-Lasinio model