$\rho$-Meson Production and Decay in Proton-Nucleus Collisions

We analyze the production of $\rho$-mesons in $p + A$ reactions including both the production by proton-nucleon as well as pion-nucleon collisions within a coupled channel transport approach. The final state interactions of the $\rho$-meson with nucleons are evaluated from a resonance model which allows to extract elastic and inelastic cross sections. We include the latter final state interactions, the $\rho$-meson decay into two pions as well as the final pion-nucleon interactions within the transport approach. We find the invariant mass distribution of pion pairs to be sensitive to the $\rho$-meson properties in the nuclear medium. However, due to the strong final state interactions of pions only light targets like $^{12}C$ might be suited to extract a $\rho$-signal from the uncorrelated two pion background which carries information about the in-medium properties of the $\rho$-meson.