Nonrelativistic QED approach to the bound-electron g factor

Pachucki, K.; Jentschura, U. D.; Yerokhin, V. A.

Nonrelativistic QED approach to the bound-electron g factor

Authors

Pachucki, K.

Jentschura, U. D.

Yerokhin, V. A.

Description

Within a systematic approach based on nonrelativistic quantum electrodynamics (NRQED), we derive the one-loop self-energy correction of order alpha (Zalpha)^4 to the bound-electron g factor. In combination with numerical data, this analytic result improves theoretical predictions for the self-energy correction for carbon and oxygen by an order of magnitude. Basing on one-loop calculations, we obtain the logarithmic two-loop contribution of order alpha^2 (Zalpha)^4 ln[(Zalpha)^-2] and the dominant part of the corresponding constant term. The results obtained improve the accuracy of the theoretical predictions for the 1S bound-electron g factor and influence the value of the electron mass determined from g factor measurements.
4 pages, RevTeX