Radiative corrections to the electrong-factor in H-like ions

Abstract

In view of the current interest of QED in strong fields, a complete set of one-photon radiative corrections to the bound-electron g factor is evaluated for several hydrogenlike ions. The calculations are performed to all orders in the nuclear potential and compared to earlier results, based on the (Z␣) expansion, which includes the Schwinger and the Grotch terms. For low Z our all-order result approaches the (Z␣) expansion, but for high Z there is a substantial deviation. Furthermore, for high Z our calculations show that the uncertainty due to nuclear structure is small and thus strongly motivate the bound g-factor experiment in progress. ͓S1050-2947͑97͒50410-0͔

One-loop binding corrections to the electron g factor

“…However, what is not in agreement is the difference for b 50 (2S) − b 50 (1S), which according to our calculations vanishes, but Yerokhin et al [4] give 0.12 (5). All the assumptions in performing the fit in Ref.…”

“…The last term E 4 comes from the expansion of δE (5) in γ · A. A typical contribution is of the form…”

“…The expansion of ψ in A is not very trivial. Since only the low momenta of the wave function ψ contribute to (Z α) 5 we apply the Foldy-Wouthyusen transformation in the presence of the magnetic field…”

“…What is approximately known, however, is the sum of b 50 and higherorders terms for individual nuclear charges from all-order numerical calculations [4][5][6][7]. The subject of this work is the oneloop electron self-energy correction of the order of α (Z α) 5 , namely the coefficient b 50 .…”

“…What is approximately known, however, is the sum of b 50 and higherorders terms for individual nuclear charges from all-order numerical calculations [4][5][6][7]. The subject of this work is the oneloop electron self-energy correction of the order of α (Z α) 5 , namely the coefficient b 50 . Although it has been obtained by extrapolation of numerical results, we aim to calculate it directly, in order to find out the best approach for the analogous two-loop contribution, which currently is the main source of the uncertainty of theoretical predictions.…”