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

TL;DR

This paper estimates the absolute branching fractions of the $f_0(1710)$ meson into various decay channels and the radiative transitions from $ ext{J/}\psi$, $ ext{psi}(2S)$, and $ ext{Upsilon}(1S)$ to $f_0(1710)$, providing key quantitative insights.

Contribution

It provides the first estimates of absolute branching fractions for $f_0(1710)$ decays and radiative transitions from heavy quarkonium states.

Findings

Estimated $Br(f_0(1710) o ext{decay channels})$ based on experimental data.

Predicted $Br( ext{psi}(2S) o ext{gamma}f_0(1710))$ and $Br( ext{Upsilon}(1S) o ext{gamma}f_0(1710))$ values.

Quantitative results for radiative transition probabilities.

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 $\omega\phi$. In addition, we estimate $Br(\psi(2S)\to\gamma f_0(1710))\approx3.5\times10^{-5}$ and $Br(\Upsilon(1S)\to\gamma f_0(1710))\approx1\times10^{-5}$.