2003/05/07 by U. D. Jentschura, Ulrich D. Jentschura
Mathematics · Physics and Astronomy · #Algorithm #Asymptotic expansion #Atomic and Molecular Physics #Atomic physics #Binding energy #Bound state #Charge (physics) #Combinatorics #Constant (computer programming) #Domain (mathematical analysis) #Effective nuclear charge #Electron #Energy (signal processing) #Extrapolation #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Nuclear Physics and Applications #Nuclear physics research studies #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #State (computer science) #hep-ph
paper · pdf · doi:10.1016/s0370-2693(03)00562-8
published as Phys.Lett. B564 (2003) 225-230 · 10 pages, LaTeX, Phys. Lett. B, in press
arxiv created 2003/05/07 · openalex publication_date 2003/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.