https://doi.org/10.1007/s100530050078
Exact two-loop vacuum polarization correction to the Lamb shift in hydrogenlike ions
1
Institut für Theoretische Physik, Technische Universität Dresden,
Mommsenstr. 13, 01062 Dresden, Federal Republic of Germany
2
Department of Physics, Chalmers University of Technology and
the University of Gothenburg, 412 96 Göteborg, Sweden
Corresponding author: a plunien@physik.tu-dresden.de
Received:
10
August
1997
Revised:
31
October
1997
Accepted:
18
November
1997
Published online: 15 February 1998
We present a calculation scheme for the two-loop vacuum polarization
correction of order 
to the Lamb shift of hydrogenlike
high-Z atoms. The interaction with the external Coulomb field is taken
into account to all orders in 
. By means of a modified potential
approach the problem is reduced to the evaluation of effective one-loop
vacuum polarization potentials. An expression for the energy shift is deduced
within the framework of partial wave decomposition performing appropriate
subtractions.
Exact results for the two-loop vacuum polarization contribution to the
Lamb shift of K- and L-shell electron states in hydrogenlike Lead and
Uranium are presented.
PACS: 31.10.+z – Theory of electronic structure, electronic transitions, and chemical binding / 31.30.-i – Corrections to electronic structure / 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
