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Reconstructing $ρ^0$ and $ω$ mesons from non-leptonic decays in C+C at 2AGeV

We predict transverse and longitudinal momentum spectra and yields of $ρ^0$ and $ω$ mesons reconstructed from hadron correlations in C+C reactions at 2~AGeV. The rapidity and $p_T$ distributions for reconstructable $ρ^0$ mesons differs strongly from the primary distribution, while the $ω$'s distributions are only weakly modified. We discuss the temporal and spatial distributions of the particles emitted in the hadron channel. Finally, we report on the mass shift of the $ρ^0$ due to its coupling to the $N^*(1520)$, which is observable in both the di-lepton and $ππ$ channel. Our calculations can be tested with the Hades experiment at GSI, Darmstadt.