Exploring the nuclear potential of antihyperons with antiprotons at {overline{rmbf P}}{rmbf ANDA}

A schematic Monte Carlo simulation is used to examine the potential of the ${overline{rm P}} {rm ANDA}$ experiment to extract information on the interaction of antihyperons in nuclei by exclusive hyperon-antihyperon pair production close to threshold in antiproton nucleus interactions. Due to energy and momentum conservation event-by-event transverse momentum correlations of the produced hyperon and antihyperons contain information on the difference between their potentials. It is demonstrated that for ${{Lambda}{overline{Lambda}}}$ and ${{{Xi}}{{overline{Xi}}}}$ pairs produced at antiproton momenta of 1.66 GeV/c and 2.9 GeV/c, respectively, the asymmetry is sufficiently sensitive even if the density as well as the momentum dependencies of the potentials are considered.