Search for X (3872) →π0π0χc1,2

Using 10.1 fb-1 of e+e- collision data collected by the BESIII detector with center-of-mass energies between 4.15 GeV and 4.30 GeV, we search for the decays X(3872)→π0π0χc1,2, where the X(3872) is produced in e+e-→γX(3872). No evidence above 3σ is found for either decay. Upper limits at the 90% CL on the branching fractions of X(3872)→π0π0χc1,2 normalized to the branching fraction of X(3872)→π+π-J/ψ are set to be B(X(3872)→π0π0χc1)/B(X(3872)→π+π-J/ψ)