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

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

2003-05-07

arxiv.org/abs/hep-ph/0305072v1

Phys.Lett. B564 (2003) 225-230

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX, Phys. Lett. B, in press

Scientific paper

10.1016/S0370-2693(03)00562-8

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 Zalpha and ln[(Zalpha)^{-2}], where Z is the nuclear charge number and alpha is the fine-structure constant. For many QED effects, numerical data are available in the domain of high Z where the Zalpha expansion fails. In this Letter, we demonstrate that it is possible, within certain limits of accuracy, to extrapolate the Zalpha-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 B_60.

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