Estimates of absolute branching fractions for the $f_0(1710)$ decays and radiative transitions $\psi (2S)\to \gamma f_0(1710)$ and ${\rm Y}(1S)\to \gamma f_0(1710)$

Abstract

Using the result of the VES Collaboration for $Br(J/\psi \to \gamma f_0(1710))$, we estimate the absolute branching fractions for the $f_0(1710)$ decays into $\pi \pi$, $K\bar{K}$, $\eta \eta$, $\omega \omega$, and $\omega \varphi$. In addition, we estimate $Br(\psi (2S)\to \gamma f_0(1710))\approx 3.5\times 10^{-5}$ and $Br({\rm Y}(1S)\to \gamma f_0(1710))\approx 1\times 10^{-5}$.

Comments: 2 pages; v3: version as published in JETP Letters