Evidence for the Cusp Effect in $η'$ Decays into $ηπ^0π^0$
Using a sample of $4.3\times 10^5$ $η'\toηπ^0π^0$ events selected from the ten billion $J/ψ$ event dataset collected with the BESIII detector, we study the decay $η'\toηπ^0π^0$ within the framework of nonrelativistic effective field theory. Evidence for a structure at $π^+π^-$ mass threshold is observed in the invariant mass spectrum of $π^0π^0$ with a statistical significance of around $3.5σ$, which is consistent with the cusp effect as predicted by the nonrelativistic effective field theory. After introducing the amplitude for describing the cusp effect, the $ππ$ scattering length combination $a_0-a_2$ is determined to be $\rm 0.226\pm0.060_{stat}\pm0.013_{syst}$, which is in good agreement with theoretical calculation of $0.2644\pm0.0051$.