Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z

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


In muonic atoms the Uehling potential (an effect of a free electronic vacuum polarization loop) is responsible for the leading contribution to the Lamb shift causing the splitting of states with Δn=0 and Δl≠0. Here we consider the Lamb shift in the leading nonrelativistic approximation, i.e., within an approach based on a certain Schrödinger equation. That is valid for low and medium Z as long as (Zα)2≪1. The result is a function of a few parameters, including κ=Zαmμ/me, n and l. We present various asymptotics and in particular we study a region of validity of asymptotics with large and small κ. Special attention is paid to circular states, which are considered in a limit of n≫1.


36.10.Gv Mesonic atoms and molecules, hyperonic atoms and molecules  31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules  


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Copyright information

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

Authors and Affiliations

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

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