An amplitude analysis of the $K_S{K}_S$ system produced in radiative $J/\psi$ decays is performed using the $(1310.6\pm 7.0)\times {10}^{6}J/\psi$ decays collected by the BESIII detector. Two approaches are presented. A mass-dependent analysis is performed by parametrizing the $K_S{K}_S$ invariant mass spectrum as a sum of Breit-Wigner line shapes. Additionally, a mass-independent analysis is performed to extract a piecewise function that describes the dynamics of the $K_S{K}_S$ system while making minimal assumptions about the properties and number of poles in the amplitude. The dominant amplitudes in the mass-dependent analysis include the $f_0(1710)$, $f_0(2200)$, and $f_2^{\prime }(1525)$. The mass-independent results, which are made available as input for further studies, are consistent with those of the mass-dependent analysis and are useful for a systematic study of hadronic interactions. The branching fraction of radiative $J/\psi$ decays to $K_S{K}_S$ is measured to be $(8.1\pm 0.4)\times {10}^{-4}$, where the uncertainty is systematic and the statistical uncertainty is negligible.

• Received 21 August 2018

DOI:https://doi.org/10.1103/PhysRevD.98.072003

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Published by the American Physical Society