A Comprehensive Study of the Radiative Decays of $J/\ddot{I}ˆ$ and $\ddot{I}ˆ(2S)$ to Pseudoscalar Meson Pairs, and Search for Glueballs

Abstract

Using 53 pb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data taken at $\sqrt{s}=3.686$ GeV, a comprehensive study has been made of the radiative decays of samples of 5.1 million $J/\ddot{I}ˆ$ and 24.5 million $\ddot{I}ˆ(2S)$ into pairs of pseudoscalar mesons, $\ddot{I}{€}^{+}\ddot{I}{€}^{-}$, $\ddot{I}{€}^0\ddot{I}{€}^0$, $K^{+}{K}^{-}$, $K_S^0{K}_S^0$, and $\hat{I}\cdot \hat{I}\cdot$. Product branching fractions for the radiative decays of $J/\ddot{I}ˆ$ and $\ddot{I}ˆ(2S)$ to scalar resonances $f_0(1370,1500,1710,2100,\text{and}2200)$, and tensor resonances $f_2(1270,1525,\text{and}2230)$ have been determined, and are discussed in relation to predicted glueballs. For $\ddot{I}ˆ(2S)$ radiative decays the search for glueballs has been extended to masses between 2.5 GeV and 3.3 GeV.

21 pages, 14 figures, published in PRD