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Nonrelativistic QED Approach to the Bound-Electron g Factor

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Jentschura,  Ulrich David
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Citation

Pachucki, K., Jentschura, U. D., & Yerokhin, V. A. (2004). Nonrelativistic QED Approach to the Bound-Electron g Factor. Physical Review Letters, 93(15): 150401. doi:10.1103/PhysRevLett.93.150401.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-8B25-1
Abstract
Within a systematic approach based on nonrelativistic quantum electrodynamics, 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 alpha2(Zalpha)4ln[(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.