Amplitude analysis of the $K_S{K}_S$ system produced in radiative $J\mathrm{/}\psi$ decays

An amplitude analysis of the $K_S{K}_S$ system produced in radiative $J\mathrm{/}\psi$ decays is performed using the $(1310.6\pm 7.0)\times {10}^6$ $J\mathrm{/}\psi$ decays collected by the BESIII detector. Two approaches are presented. A mass-dependent analysis is performed by parameterizing 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 $f_2^{\mathrm{\prime }}(1525)$. 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 $J\mathrm{/}\psi$ 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.