Decay $\ensuremath{\phi}\ensuremath{\rightarrow}{f}_{0}(980)\ensuremath{\gamma}$ and the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\phi}{f}_{0}(980)$

Decay $ϕ \to f_{0} (980) γ$ and the process $e^{+} e^{-} \to ϕ f_{0} (980)$

Yu. M. Bystritskiy, M. K. Volkov, E. A. Kuraev, E. Bartoš, and M. Sečanský

Phys. Rev. D 77, 054008 – Published 11 March 2008

Abstract

The decay $ϕ \to f_{0} (980) γ$ and process $e^{+} e^{-} \to ϕ f_{0} (980)$ are considered within the local Nambu-Jona-Lasinio model. In the amplitudes of these processes, contributions of $s$ -quark and kaon loops are taken into account. The kaon loop gives a dominant contribution. Our estimation for the decay width of $ϕ \to f_{0} γ$ is in satisfactory agreement with recent experimental data. This allows us to make some predictions for cross sections of the process $e^{+} e^{-} \to γ^{*} \to ϕ f_{0}$ which can be tested in the C- $τ$ factory. The total and differential cross sections of this process are calculated and presented in the figures.