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Two-loop QED corrections with closed fermion loops for the bound-electron g factor

MPS-Authors

Yerokhin,  V. A.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany;
Center for Advanced Studies, St. Petersburg State Polytechnical University, Polytekhnicheskaya 29, St. Petersburg 195251, Russia;

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Harman,  Zoltan
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany;

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1308.2138.pdf
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Citation

Yerokhin, V. A., & Harman, Z. (2013). Two-loop QED corrections with closed fermion loops for the bound-electron g factor. Physical Review A, 88(4): 042502. doi:10.1103/PhysRevA.88.042502.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-9CEB-3
Abstract
Two-loop QED corrections with closed fermion loops are calculated for the 1s bound-electron g factor. Calculations are performed to all orders in the nuclear binding strength parameter Z\alpha (where Z is the nuclear charge and \alpha is the fine structure constant) except for the closed fermion loop, which is treated within the free-loop (Uehling) approximation in some cases. Comparison with previous Z\alpha-expansion calculations is made and the higher-order remainder of order \alpha^2(Z\alpha)^5 and higher is separated out from the numerical results.