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Higher-order binding corrections to the Lamb shift of 2P states

U. D. Jentschura·K. Pachucki
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Abstract

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher order terms. The method is applied to the 2P_{1/2} and 2P_{3/2} states in atomic hydrogen. The results lead to new theoretical values for the Lamb shifts and the fine structure splitting.

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U. D. Jentschura, K. Pachucki. 2000-11-03. Higher-order binding corrections to the Lamb shift of 2P states. https://doi.org/10.1103/physreva.54.1853

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