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Phys. Rev. A 72, 022108 (2005) [11 pages]

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

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Krzysztof Pachucki1, Andrzej Czarnecki2, Ulrich D. Jentschura3, and Vladimir A. Yerokhin4,5
1Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681 Warsaw, Poland
2Department of Physics, University of Alberta, Edmonton, AB, Canada T6G 2J1
3Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
4Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia
5Center for Advanced Studies, St. Petersburg State Polytechnical University, Polytekhnicheskaya 29, St. Petersburg 195251, Russia

Received 9 June 2005; published 18 August 2005

Within a systematic approach based on dimensionally regularized nonrelativistic quantum electrodynamics, we derive a complete result for the two-loop correction to order (α∕π)2(Zα)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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.022108
DOI:
10.1103/PhysRevA.72.022108
PACS:
12.20.Ds, 31.30.Jv, 06.20.Jr, 31.15.−p
 
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