Vacuum Polarization Effects on Energy Levels inμ-Mesonic Atoms

The shifts of the energy levels of $\mu$-mesonic atoms due to vacuum polarization are calculated for the states $n=l+1\mathrm{}$. 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.