Corrections to the Wave Function and the Hyperfine Structure in Exotic Atoms

Author

Savely Karshenboim
Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow
Vladimir G. Ivanov
Gerhard Soff

Abstract

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.

Recommended Citation

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

Department(s)

Physics

International Standard Serial Number (ISSN)

1434-6060

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Springer New York, All rights reserved.

Publication Date

01 Jul 1998