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We review the current status of our study of -nuclear interactions and -nuclear quasi-bound states. The adopted -nuclear optical potential consists of two parts – the single-nucleon one constructed microscopically from chirally motivated amplitudes, and a phenomenological multi-nucleon one constrained in fits to kaonic atoms data. The inclusion of multi-nucleon absorption in our calculations of quasi-bound states in many-body systems leads to huge widths, considerably exceeding the binding energies. If this feature is confirmed the observation of such states is unlikely. Finally, a development of a new microscopical model for in-medium absorption is discussed as well.

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