Search for the rare decay eta ' -> pi(0)pi(0)pi(0)pi(0) at BESIII

Using a sample of 1.31×109 J/ψ events collected with the BESIII detector, we perform a search for the rare decay η′→4π0 via J/ψ→γη′. No significant η′ signal is observed in the 4π0 invariant mass spectrum. With a Bayesian approach, the upper limit on the branching fraction is determined to be B(η′→4π0)