Search for the rare decays $J\mathrm{/}\psi \to D^0{e}^{+}{e}^{-}+c\mathrm{.}c\mathrm{.}$ and $\psi (3686)\to D^0{e}^{+}{e}^{-}+c\mathrm{.}c\mathrm{.}$

Using the data samples of $(1310.6\pm 7.2)\times {10}^6$ $J\mathrm{/}\psi$ events and $(448.1\pm 2.9)\times {10}^6$ $\psi (3686)$ events collected with the BESIII detector, we search for the rare decays $J\mathrm{/}\psi \to D^0{e}^{+}{e}^{-}+c\mathrm{.}c\mathrm{.}$ and $\psi (3686)\to D^0{e}^{+}{e}^{-}+c\mathrm{.}c\mathrm{.}$. No significant signals are observed and the corresponding upper limits on the branching fractions at the $90\mathrm{\%}$ confidence level are determined to be $Br(J/\psi \to D^{0} e^{+}e^{-} +c.c.)< 8.5\times 10^{-8}$and$Br (\psi(3686) \to D^{0} e^{+}e^{-} +c.c.)<1.4\times 10^{-7}$,respectively\mathrm{.}Ourlimiton$Br(J/\psi \to D^{0} e^{+}e^{-} +c.c.)$ is more stringent by two orders of magnitude than the previous results, and the $Br(\psi (3686)\to D^0{e}^{+}{e}^{-}+c\mathrm{.}c\mathrm{.})$ is measured for the first time.