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#### Nuclear-size self-energy and vacuum-polarization corrections to the bound-electron g factor

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##### Citation

Yerokhin, V. A., Keitel, C. H., & Harman, Z. (2013). Nuclear-size self-energy and
vacuum-polarization corrections to the bound-electron g factor.* Journal of Physics B: Atomic, Molecular
and Optical Physics,* *46*(24): 245002. doi:10.1088/0953-4075/46/24/245002.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-CE23-9

##### Abstract

The finite nuclear-size effect on the leading bound-electron g factor and the one-loop QED corrections to the bound-electron g factor is investigated for the ground state of hydrogen-like ions. The calculation is performed to all orders in the nuclear binding strength parameter Zα (where Z is the nuclear charge and α is the fine structure constant) and for the Fermi model of the nuclear charge distribution. In the result, theoretical predictions for the isotope shift of the 1s bound-electron g factor are obtained, which can be used for the determination of the difference of nuclear charge radii from experimental values of the bound-electron g factors for different isotopes.