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Two-loop self-energy correction in H-like ions

V. A. Yerokhin·V. M. Shabaev
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Abstract

A part of the two-loop self-energy correction, the so-called P term, is evaluated numerically for the 1s state to all orders in Zα. Our calculation, combined with the previous investigation [S. Mallampalli and J. Sapirstein, Phys. Rev. A 57, 1548 (1998)], yields the total answer for the two-loop self-energy correction in H-like uranium and bismuth. As a result, the major uncertainty is eliminated from the theoretical prediction for the Lamb shift in these systems. The total value of the ground-state Lamb shift in H-like uranium is found to be 463.93(50) eV.

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V. A. Yerokhin, V. M. Shabaev. 2001-07-17. Two-loop self-energy correction in H-like ions. https://doi.org/10.1103/physreva.64.062507

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