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

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Abstract.

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.

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Authors and Affiliations

  1. Department of Physics, St. Petersburg State University, Oulianovskaya 1, 198504, Petrodvorets, St. Petersburg, Russia

    V. A. Yerokhin & V. M. Shabaev

  2. Laboratoire Kastler-Brossel, École Normale Supérieure et Université P. et M. Curie, Case 74, 4 place Jussieu, 75252, Paris Cedex 05, France

    V. A. Yerokhin & P. Indelicato

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  1. V. A. Yerokhin
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  2. P. Indelicato
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  3. V. M. Shabaev
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Correspondence to P. Indelicato.

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Received: 14 July 2003, Published online: 3 September 2003

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

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Yerokhin, V.A., Indelicato, P. & Shabaev, V.M. Evaluation of the two-loop self-energy correction to the ground state energy of H-like ions to all orders in Z\(\alpha\) . Eur. Phys. J. D 25, 203–238 (2003). https://doi.org/10.1140/epjd/e2003-00270-x

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