https://doi.org/10.1140/epjd/e2006-00181-4
Vacuum polarization in muonic and antiprotonic atoms: the fine structure at medium Z
1
D. I. Mendeleev Institute for Metrology (VNIIM), 190005 St. Petersburg, Russia
2
Pulkovo Observatory, 196140 St. Petersburg, Russia
3
Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany
Corresponding author: a sek@mpq.mpg.de
Received:
23
May
2006
Revised:
30
June
2006
Published online:
5
August
2006
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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006