Complete two-loop correction to the bound-electron g factor

Details Complete two-loop correction to the bound-electron g factor Complete two-loop correction to the bound-electron g factor

2005-06-30

arxiv.org/abs/physics/0506227v1

Phys.Rev. A72 (2005) 022108

Physics

Atomic Physics

11 pages, 1 figure

Scientific paper

10.1103/PhysRevA.72.022108

Within a systematic approach based on the dimensionally regularized nonrelativistic quantum electrodynamics, we derive the complete result for the two-loop correction to order $(\alpha/\pi)^2 (Z \alpha)^4$ for the $g$ factor of an electron bound in an $nS$ state of a hydrogenlike ion. The results obtained significantly improve the accuracy of the theoretical predictions for the hydrogenlike carbon and oxygen ions and influence the value of the electron mass inferred from $g$ factor measurements.

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