https://doi.org/10.1140/epjd/e2003-00270-x
Evaluation of the two-loop self-energy correction to the ground state energy of H-like ions to all orders in Zα
1
Department of Physics, St. Petersburg State
University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia
2
Laboratoire Kastler-Brossel, École Normale Supérieure et
Université P. et M. Curie, Case 74, 4 place Jussieu, 75252 Paris Cedex 05,
France
Corresponding author: a paul@spectro.jussieu.fr
Received:
14
July
2003
Published online:
3
September
2003
We present an evaluation of the complete gauge-invariant set of
the two-loop self-energy diagrams carried out to all orders in the parameter
. The calculation is performed for the ground state of H-like ions
with 
. As a result, we significantly improve the accuracy of
theoretical values for the ground-state Lamb shift in high-Z H-like ions.
We provide a compilation of various contributions to the ground-state energy
of H-like ions and estimate uncertainties of the corresponding theoretical
predictions.
PACS: 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 31.10.+z – Theory of electronic structure, electronic transitions, and chemical binding / 31.30.-i – Corrections to electronic structure
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
