Lamb shift of 3P and 4P states and the determination of α

U. Jentschura, G. Soff, P. J. Mohr

Research output: Contribution to journalArticle

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Abstract

The fine-structure interval of P states in hydrogenlike systems can be determined theoretically with high precision, because the energy levels of P states are only slightly influenced by the structure of the nucleus. Therefore a measurement of the fine structure may serve as an excellent test of QED in bound systems, or alternatively as a means of determining the fine-structure constant a with very high precision. In this paper an improved analytic calculation of higher-order binding corrections to the one-loop self-energy of 3P and 4P states in hydrogenlike systems with a low nuclear charge number Z is presented. The method of calculation has been described earlier by Jentschura and Pachucki [Phys. Rev. A 54, 1853 (1996)], and is applied here to the excited P states. Because of the more complicated nature of the wave functions and the bound-state poles corresponding to decay of the excited states, the calculations are more complex. Comparison of the analytic results to the extrapolated numerical data for high-Z ions [Mohr and Kim, Phys. Rev. A 45, 2727 (1992)] serves as an independent test of the analytic evaluation. Theoretical values for the Lamb shift of the P states and for the fine-structure splittings are given.

Original languageEnglish
Pages (from-to)1739-1755
Number of pages17
JournalPhysical Review A
Volume56
Issue number3
Publication statusPublished - 1997

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fine structure
shift
poles
energy levels
wave functions
intervals
nuclei
evaluation
decay
excitation
ions
energy

ASJC Scopus subject areas

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

Cite this

Lamb shift of 3P and 4P states and the determination of α. / Jentschura, U.; Soff, G.; Mohr, P. J.

In: Physical Review A, Vol. 56, No. 3, 1997, p. 1739-1755.

Research output: Contribution to journalArticle

Jentschura, U, Soff, G & Mohr, PJ 1997, 'Lamb shift of 3P and 4P states and the determination of α', Physical Review A, vol. 56, no. 3, pp. 1739-1755.
Jentschura, U. ; Soff, G. ; Mohr, P. J. / Lamb shift of 3P and 4P states and the determination of α. In: Physical Review A. 1997 ; Vol. 56, No. 3. pp. 1739-1755.
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