The European Physical Journal D

, Volume 41, Issue 1, pp 1–7 | Cite as

Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z

  • E. Yu. Korzinin
  • V. G. Ivanov
  • S. G. KarshenboimEmail author
Atomic Physics


Effects of vacuum polarization modify the energy levels in atoms with an orbiting particle heavier than an electron. The dominant effect is due to the Uehling potential. In this paper we consider the relativistic corrections to the energy levels caused by the Uehling potential and in particular the fine structure in muonic and antiprotonic atoms. We derive general expressions and consider in detail specific regions of parameters which allow simple asymptotic expansions. We take into account the recoil effects and anomalous magnetic moment in the case of an antiproton as the orbiting particle.


36.10.Gv Mesonic atoms and molecules, hyperonic atoms and molecules 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules 32.10.Fn Fine and hyperfine structure 


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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • E. Yu. Korzinin
    • 1
  • V. G. Ivanov
    • 1
    • 2
  • S. G. Karshenboim
    • 1
    • 3
    Email author
  1. 1.D. I. Mendeleev Institute for Metrology (VNIIM)St. PetersburgRussia
  2. 2.Pulkovo ObservatorySt. PetersburgRussia
  3. 3.Max-Planck-Institut für QuantenoptikGarchingGermany

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