The shifts of the energy levels of μ-mesonic atoms due to vacuum polarization are calculated for the states $n=l+1$. The first-order perturbation integrals are evaluated both in closed form and by means of series expansions. A more accurate calculation of the energy shifts which takes into account the alteration of the atomic wave functions by the vacuum polarization potential is described in the concluding section.
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Glauber et al. (1960) studied this question.
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