Within a systematic approach based on nonrelativistic quantum electrodynamics, we derive the one-loop self-energy correction of order α ( Z α )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 α2 ( Z α )4 ln [ ( Z α )- 2 ] and the dominant part of the corresponding constant term. The results obtained improve the accuracy of the theoretical predictions for the 1 S bound-electron g factor and influence the value of the electron mass determined from g -factor measurements.
K. Pachucki et al., "Nonrelativistic QED Approach to the Bound-Electron g Factor," Physical Review Letters, vol. 93, no. 15, pp. 150401-1-150401-4, American Physical Society (APS), Oct 2004.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.93.150401
Keywords and Phrases
Carbon; Data Reduction; Error Analysis; Extrapolation; Hamiltonians; Magnetic Field Effects; Mathematical Transformations; Oxygen; Perturbation Techniques; Polarization; Quantum Theory; Electron Mass; Power-Zienau Transformation; Quantum Electrodynamics (QED); Self-energy Correction; Electrodynamics
International Standard Serial Number (ISSN)
Article - Journal
© 2004 American Physical Society (APS), All rights reserved.