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

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arxiv 2307.03472 v3 pith:UR43VUQS submitted 2023-07-07 hep-ph hep-exnucl-exnucl-th

classification hep-phhep-exnucl-exnucl-th
keywords gammaomegaabsolutebranchingdecaysestimatefractionstimes10
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $Br(\Upsilon(1S)\to\gamma f_0(1710))\approx1\times10^{-5}$.

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