Corrections to the Wave Function and the Hyperfine Structure in Exotic Atoms
We present an analytical evaluation of radiative corrections in exotic atoms induced by the one-loop electronic vacuum polarization. We evaluate corrections to the energy levels, to the wave function (at the origin) and to the hyperfine structure. We treat all corrections analytically within a non-relativistic approximation. Agreement is found with a few available numerical results. The analytical treatment allows to determine the asymptotic forms of the corrections in the limit of a small atomic radius, which for the atomic systems considered corresponds to a large mass of the constituent particle as compared to the electron mass. The asymptotics can be verified using the effective charge approach.
S. Karshenboim et al., "Corrections to the Wave Function and the Hyperfine Structure in Exotic Atoms," European Physical Journal D, vol. 2, no. 3, pp. 209-215, Springer New York, Jul 1998.
The definitive version is available at https://doi.org/10.1007/s100530050133
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