We calculated antibaryon ( = , , , ) bound states in selected nuclei within the relativistic mean-field (RMF) model. The G-parity motivated -meson coupling constants were scaled to yield corresponding potentials consistent with available experimental data. Large polarization of the nuclear core caused by was confirmed. The annihilation in the nuclear medium was incorporated by including a phenomenological imaginary part of the optical potential. The calculations using a complex -nucleus potential were performed fully self-consistently. The widths significantly decrease when the phase space reduction is considered for annihilation products, but they still remain sizeable for potentials consistent with -atom data.

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