Amplitude analysis of the $K_{S}K_{S}$ system produced in radiative $J/\psi$ decays

TL;DR

This paper performs a detailed amplitude analysis of the $K_{S}K_{S}$ system in radiative $J/ar{psi}$ decays using a large dataset, identifying key resonances and providing results useful for understanding hadronic interactions.

Contribution

It introduces both mass-dependent and mass-independent amplitude analysis methods for the $K_{S}K_{S}$ system in $J/ar{psi}$ decays, with the latter offering minimal assumptions and valuable input for future studies.

Findings

Identification of dominant resonances: $f_{0}(1710)$, $f_{0}(2200)$, $f_{2}^\prime(1525)$.

Measured branching fraction of radiative $J/ar{psi}$ to $K_{S}K_{S}$: $(8.1 imes 10^{-4})$.

Mass-independent results consistent with mass-dependent analysis.

Abstract

An amplitude analysis of the $K_{S}K_{S}$ system produced in radiative $J/\psi$ decays is performed using the $(1310.6\pm7.0)\times10^{6}$ $J/\psi$ 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 $f_{2}^\prime(1525)$. 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.