Partial Wave Analyses of $J/\psi \to \gamma K^{+}{K}^{-}$ and $\gamma K_S^0{K}_S^0$

Abstract

Results are presented on $J/\psi$ radiative decays to $K^{+}{K}^{-}$ and $K_S^0{K}_S^0$ based on a sample of 58M $J/\psi$ events taken with the BES II detector. A partial wave analysis is carried out using the relativistic covariant tensor amplitude method in the 1-2 GeV mass range. There is conspicuous production due to the $f_2^{\prime }(1525)$ and $f_0(1710)$. The latter peaks at a mass of $1740\pm 4_{-25}^{+10}$ MeV with a width of $166{}_{-8}^{+5}{}_{-10}^{+15}$ MeV. Spin 0 is strongly preferred over spin 2. For the $f_2^{\prime }(1525)$, the helicity amplitude ratios are determined to be $x^2=1.00\pm 0.28_{-0.36}^{+1.06}$ and $y^2=0.44\pm {0.08}_{-0.56}^{+0.10}$.

16 pages, 5 figures

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