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

U. Jentschura, K. Pachucki

Research output: Contribution to journalArticle

95 Citations (Scopus)

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 2P1/2 and 2P3/2 states in atomic hydrogen. The results lead to theoretical values for the Lamb shifts and the fine-structure splitting.

Original languageEnglish
Pages (from-to)1853-1861
Number of pages9
JournalPhysical Review A
Volume54
Issue number3
Publication statusPublished - Sep 1996

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shift
energy
division
fine structure
expansion
propagation
photons
hydrogen
electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Higher-order binding corrections to the Lamb shift of 2P states. / Jentschura, U.; Pachucki, K.

In: Physical Review A, Vol. 54, No. 3, 09.1996, p. 1853-1861.

Research output: Contribution to journalArticle

Jentschura, U. ; Pachucki, K. / Higher-order binding corrections to the Lamb shift of 2P states. In: Physical Review A. 1996 ; Vol. 54, No. 3. pp. 1853-1861.
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