Search for lepton-flavor violating decays $D^{0}rightarrow X^{0}e^{pm}mu^{mp}$

We present a search for seven lepton-flavor-violating neutral charm decays of the type $D^{0}rightarrow X^{0} e^{pm} mu^{mp}$, where $X^{0}$ represents a $pi^{0}$, $K^{0}_{rm S}$, $bar{K^{*0}}$, $rho^{0}$, $phi$, $omega$, or $eta$ meson. The analysis is based on $468$ fb$^{-1}$ of $e^+e^-$ annihilation data collected at or close to the $Upsilon(4S)$ resonance with the BaBar detector at the SLAC National Accelerator Laboratory. No significant signals are observed, and we establish 90% confidence level upper limits on the branching fractions in the range $(5.0 - 22.5)times 10^{-7}$. The limits are between one and two orders of magnitude more stringent than previous measurements.