Radiative decay of theψ(2S)into two pseudoscalar mesons
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Abstract
Radiative decays of the radially excited charmonium resonance, $\ensuremath{\psi}(2S),$ into $\ensuremath{\pi}\ensuremath{\pi},$ $K\overline{K}$ and $\ensuremath{\eta}\ensuremath{\eta}$ final states have been measured in a sample of $4.02\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\psi}(2S)$ events collected by the BES Collaboration. The branching ratios $B(\ensuremath{\psi}(2S)\ensuremath{\rightarrow}\ensuremath{\gamma}{f}_{2}(1270))=(2.12\ifmmode\pm\else\textpm\fi{}0.19\ifmmode\pm\else\textpm\fi{}0.32)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and $B(\ensuremath{\psi}(2S)\ensuremath{\rightarrow}\ensuremath{\gamma}{f}_{0}(1710))\ifmmode\times\else\texttimes\fi{}B({f}_{0}(1710)\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}})=(3.02\ifmmode\pm\else\textpm\fi{}0.45\ifmmode\pm\else\textpm\fi{}0.66)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ are obtained. When compared to the corresponding radiative $J/\ensuremath{\psi}$ decays, the observed $\ensuremath{\psi}(2S)$ radiative decay rates into $\ensuremath{\gamma}{f}_{2}(1270)$ and $\ensuremath{\gamma}{f}_{0}(1710)$ are consistent with the prediction of the ``12%'' rule.
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