Amplitude analysis of ψ3686→γKS0KS0

Using (2712 ± 14) × 10⁶ψ(3686) events collected with the BESIII detector, we perform the first amplitude analysis of the radiative decay ψ3686→γKS0KS0 within the mass region MKS0KS0<2.8 GeV/c². Employing a one-channel K-matrix approach for the description of the dynamics of the KS0KS0 system, the data sample is well described with four poles for the f₀-wave and three poles for the f₂-wave. The determined pole positions are consistent with those of well-established resonance states. The observed f₀ and f₂ states are found to be in agreement with those produced in radiative J/ψ decays. The production behaviors of f₀ and f₂ poles in ψ3686→γKS0KS0 are qualified with their residues and the converted branching fractions. By comparing with J/ψ→γKS0KS0 decay, the ratios Bψ3686→γf0,2BJ/ψ→γf0,2 are determined, which provides crucial experimental inputs on the internal structure of the f_0,2 states, especially their potential mixing with glueball components.