Extrapolation of the Zα-Expansion and Two-Loop Bound-State Energy Shifts

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow

Abstract

Quantum electrodynamic (QED) effects that shift the binding energies of hydrogenic energy levels have been expressed in terms of a semi-analytic expansion in powers of Zα and ln[(Zα)^-2], where Z is the nuclear charge number and α is the fine-structure constant. For many QED effects, numerical data are available in the domain of high Z where the Zα expansion fails. In this Letter, we demonstrate that it is possible, within certain limits of accuracy, to extrapolate the Zα-expansion from the low-Z to the high-Z domain. We also review two-loop self-energy effects and provide an estimate for the problematic nonlogarithmic coefficient B₆₀.

Recommended Citation

U. D. Jentschura, "Extrapolation of the Zα-Expansion and Two-Loop Bound-State Energy Shifts," Physics Letters B, vol. 564, no. 3-4, pp. 225 - 230, Elsevier, Jul 2003.

The definitive version is available at https://doi.org/10.1016/S0370-2693(03)00562-8

Department(s)

Physics

Keywords and Phrases

Accuracy; Analytic Method; Correlation Analysis; Electricity; Energy; Molecular Dynamics; Quantum Mechanics; Structure Analysis; Asymptotic Problems And Properties; General Properties Of Perturbation Theory; QED Radiative Corrections

International Standard Serial Number (ISSN)

0370-2693

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2003 Elsevier, All rights reserved.

Publication Date

01 Jul 2003