Higher-Order Binding Corrections to the Lamb Shift of 2P States

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow
Krzysztof Pachucki

Abstract

We present an improved calculation of higher-order corrections to the one-loop self-energy of 2P states in hydrogenlike 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 theoretical values for the Lamb shifts and the fine-structure splitting.

Recommended Citation

U. D. Jentschura and K. Pachucki, "Higher-Order Binding Corrections to the Lamb Shift of 2P States," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 54, no. 3, pp. 1853 - 1861, American Physical Society (APS), Sep 1996.

The definitive version is available at https://doi.org/10.1103/PhysRevA.54.1853

Department(s)

Physics

International Standard Serial Number (ISSN)

1050-2947

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1996 American Physical Society (APS), All rights reserved.

Publication Date

01 Sep 1996