Using a data sample of decay events collected with the BESIII detector at BEPCII, we study the electromagnetic Dalitz decay with two dominant decay modes, and . The branching fraction is determined to be $(J/\psi \to \eta’ e^+e^-) = (6.59\pm0.07\pm0.17) \times 10^{-5}$, which improves in precision by a factor of 2 over the previous BESIII measurement. A search for the dark photon () is performed via $J/\psi \to\eta’ \gamma ‘, \gamma’ \to e^{+}e^{-}\omega\phi$ mass regions, no significant signal is observed in the mass range from 0.1 to 2.1 GeV/. We set upper limits at the 90% confidence level on $(J/\psi \to \eta’ \gamma ‘)\times(\gamma ’ \to e^+e^-)(J/\psi \to\eta’ \gamma’$) and the mixing strength as a function of dark photon mass. This is among the first searches for dark photons in charmonium decays.

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