Search for Flavor-Changing Neutral-Current Charm Decays at BaBar

We present a search for flavor-changing neutral-current charm meson and baryon decays using data collected by the BaBar experiment. Flavor-changing neutral-current decays occur only through loop diagrams in the Standard Model and are therefore sensitive to certain types of new physics. The strongest constraints at present come from $K$ and $B$ decays, but charm decays are potentially also sensitive to new physics. The analysis will present a search for the decay modes $D^+\to\pi^+\ell^+\ell'^-$, $D_s^+\to K^+\ell^+\ell'^-$ and $\Lambda_c^+\to p\ell^+\ell'^-$.