Abstract
Motivated by the recent experimental measures of the 2p-states fine splitting of the muonic He4 ion (Krauth et al., 2021), we think it may be of interest to present an independent calculation in terms of the two-body relativistic equation for a scalar and a fermion developed in Giachetti and Sorace (2021, 2019) for mesic atoms. This work can thus be considered an addendum to these last papers in a different range for the masses of the two components. It gives theoretical results in good agreement with the recent experimental measures.
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