We report on self-consistent calculations of quasi-bound states in selected nuclei performed within the relativistic mean-field (RMF) model employing coupling constants tuned to reproduce -atom data. We confirmed considerable polarization of the nuclear core induced by the antiproton. The annihilation was treated dynamically, taking into account the reduced phase space in the nuclear medium as well as the compressed nuclear density. The energy available for the annihilation products was evaluated self-consistently, considering additional energy shift due to particle momenta in the -nucleus system. Next, we constructed the -nucleus optical potential using scattering amplitudes related to the latest version of the Paris potential. We explored energy dependence of the potential and the implications for -nucleus quasi-bound states.

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