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

S. Karshenboim, U. Jentschura, V. Ivanov, G. Soff

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 languageEnglish
Pages (from-to)209-215
Number of pages7
JournalEuropean Physical Journal D
Volume2
Issue number3
Publication statusPublished - 1998

Fingerprint

hyperfine structure
wave functions
atoms
electron mass
energy levels
vacuum
radii
evaluation
polarization
approximation
electronics

ASJC Scopus subject areas

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

Cite this

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

In: European Physical Journal D, Vol. 2, No. 3, 1998, p. 209-215.

Research output: Contribution to journalArticle

Karshenboim, S. ; Jentschura, U. ; Ivanov, V. ; Soff, G. / Corrections to the wave function and the hyperfine structure in exotic atoms. In: European Physical Journal D. 1998 ; Vol. 2, No. 3. pp. 209-215.
@article{d21d51fc94944db1890c12c4d22a6f80,
title = "Corrections to the wave function and the hyperfine structure in exotic atoms",
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.",
author = "S. Karshenboim and U. Jentschura and V. Ivanov and G. Soff",
year = "1998",
language = "English",
volume = "2",
pages = "209--215",
journal = "Zeitschrift fur Physik D-Atoms Molecules and Clusters",
issn = "1434-6060",
publisher = "Springer New York",
number = "3",

}

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 -