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