### 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.

Original language | English |
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Pages (from-to) | 209-215 |

Number of pages | 7 |

Journal | European Physical Journal D |

Volume | 2 |

Issue number | 3 |

Publication status | Published - 1998 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*European Physical Journal D*,

*2*(3), 209-215.

**Corrections to the wave function and the hyperfine structure in exotic atoms.** / Karshenboim, S.; Jentschura, U.; Ivanov, V.; Soff, G.

Research output: Contribution to journal › Article

*European Physical Journal D*, vol. 2, no. 3, pp. 209-215.

}

TY - JOUR

T1 - Corrections to the wave function and the hyperfine structure in exotic atoms

AU - Karshenboim, S.

AU - Jentschura, U.

AU - Ivanov, V.

AU - Soff, G.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001756573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001756573&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001756573

VL - 2

SP - 209

EP - 215

JO - Zeitschrift fur Physik D-Atoms Molecules and Clusters

JF - Zeitschrift fur Physik D-Atoms Molecules and Clusters

SN - 1434-6060

IS - 3

ER -