The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics

, Volume 25, Issue 3, pp 203–238

Evaluation of the two-loop self-energy correction to the ground state energy of H-like ions to all orders in Z\(\alpha\)

Original Paper

DOI: 10.1140/epjd/e2003-00270-x

Cite this article as:
Yerokhin, V.A., Indelicato, P. & Shabaev, V.M. Eur. Phys. J. D (2003) 25: 203. doi:10.1140/epjd/e2003-00270-x


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 \(Z\alpha\). The calculation is performed for the ground state of H-like ions with \(Z\ge 40\). 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.

Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • V. A. Yerokhin
    • 1
    • 2
  • P. Indelicato
    • 2
  • V. M. Shabaev
    • 1
  1. 1.Department of PhysicsSt. Petersburg State UniversityPetrodvorets, St. PetersburgRussia
  2. 2.Laboratoire Kastler-BrosselÉcole Normale Supérieure et Université P. et M. CurieParis Cedex 05France