Charmonium spectral functions in $\bar{p}A$ collision

We study the in-medium propagation of low-lying charmonium states: $J\mathrm{/}\mathrm{\Psi }$, $\mathrm{\Psi }$(3686), and $\mathrm{\Psi }$(3770) in a $\bar{p}$ Au $10$ GeV collision. This energy regime will be available for the PANDA experiment. The time evolution of the spectral functions of the charmonium states is studied with a BUU type transport model. We observe a substantial effect of the medium in the dilepton spectrum.