English

Model operator approach to the Lamb shift calculations in relativistic many-electron atoms

Atomic Physics 2013-07-26 v1

Abstract

A model operator approach to calculations of the QED corrections to energy levels in relativistic many-electron atomic systems is developed. The model Lamb shift operator is represented by a sum of local and nonlocal potentials which are defined using the results of ab initio calculations of the diagonal and nondiagonal matrix elements of the one-loop QED operator with H-like wave functions. The model operator can be easily included in any calculations based on the Dirac-Coulomb-Breit Hamiltonian. Efficiency of the method is demonstrated by comparison of the model QED operator results for the Lamb shifts in many-electron atoms and ions with exact QED calculations.

Keywords

Cite

@article{arxiv.1305.6333,
  title  = {Model operator approach to the Lamb shift calculations in relativistic many-electron atoms},
  author = {V. M. Shabaev and I. I. Tupitsyn and V. A. Yerokhin},
  journal= {arXiv preprint arXiv:1305.6333},
  year   = {2013}
}

Comments

14 pages, 10 tables, 3 figures