Extrapolation of the Zα-expansion and two-loop bound-state energy shifts

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9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)225-230
Number of pages6
JournalPhysics Letters B
Volume564
Issue number3-4
DOIs
Publication statusPublished - Jul 10 2003

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extrapolation
quantum electrodynamics
expansion
shift
energy
binding energy
energy levels
fine structure
coefficients
estimates

Keywords

  • Asymptotic problems and properties
  • General properties of perturbation theory
  • QED radiative corrections

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Extrapolation of the Zα-expansion and two-loop bound-state energy shifts. / Jentschura, U.

In: Physics Letters B, Vol. 564, No. 3-4, 10.07.2003, p. 225-230.

Research output: Contribution to journalArticle

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