The anomalous magnetic moment of the electron in hydrogenlike ions

Issue		Eur. Phys. J. Special Topics Volume 163, October I 2008 Atomic Clocks and Fundamental Constants


Page(s)		113 - 126
DOI		10.1140/epjst/e2008-00814-8
Published online		25 October 2008

Eur. Phys. J. Special Topics 163, 113-126 (2008)
DOI: 10.1140/epjst/e2008-00814-8

A test of bound-state QED: Recent, present and future precision experiments

M. Vogel^{1, 2}, J. Alonso³, K. Blaum^{3, 2}, W. Quint², B. Schabinger³, S. Sturm³, J. Verdu¹, A. Wagner³ and G. Werth³

¹ Department of Physics, Imperial College London, SW7 2BW London, UK
² Gesellschaft für Schwerionenforschung, Planckstrasse 1, 64291 Darmstadt, Germany
³ Institut für Physik, Johannes Gutenberg-Universität, 55099 Mainz, Germany

m.vogel@imperial.ac.uk

Abstract
The precise determination of the anomalous magnetic moment of the electron bound in hydrogen-like ions allows for a stringent test of quantum electrodynamics (QED) in the presence of strong electric fields. g-factor measurements on the electron bound in hydrogen-like ions ¹²C⁵⁺ and ¹⁶O⁷⁺, using single ions confined in a Penning trap, have yielded values in agreement with theory on the ppb level. If the QED calculations are considered correct, the results can in turn be used for a determination of fundamental constants like the electron mass m_e, the fine structure constant $\alpha$ or nuclear parameters. We report about present developments towards g-factor measurements also in medium-heavy and heavy highly-charged ions.

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