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

  • Atomic Physics
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Abstract.

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.

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Authors and Affiliations

  1. D.I. Mendeleev Institute for Metrology (VNIIM), 190005, St. Petersburg, Russia

    S. G. Karshenboim, V. G. Ivanov & E. Yu. Korzinin

  2. Max-Planck-Institut für Quantenoptik, 85748, Garching, Germany

    S. G. Karshenboim

  3. Pulkovo Observatory, 196140, St. Petersburg, Russia

    V. G. Ivanov

Authors
  1. S. G. Karshenboim
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  2. V. G. Ivanov
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  3. E. Yu. Korzinin
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Correspondence to S. G. Karshenboim.

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Karshenboim, S., Ivanov, V. & Korzinin, E. Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z. Eur. Phys. J. D 39, 351–358 (2006). https://doi.org/10.1140/epjd/e2006-00133-0

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  • DOI: https://doi.org/10.1140/epjd/e2006-00133-0

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