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The $g$ factor of an electron or muon bound by an arbitrary central potential

S. G. Karshenboim·R. N. Lee·A. I. Milstein
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Abstract

We consider the $g$ factor of a spin-1/2 particle (electron or muon) bound by an arbitrary central field. We present an approach which allows one to express the relativistic $g$ factor in terms of the binding energy. We derive the general expression for the correction to the $g$ factor caused by a deviation of the central potential from the Coulomb one. As the application of this method, we consider the corrections to the $g$ factor due to the finite nuclear size, including vacuum polarization radiative correction. The effect of the anomalous magnetic moment is also taken into account.

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S. G. Karshenboim, R. N. Lee, A. I. Milstein. 2005-06-10. The $g$ factor of an electron or muon bound by an arbitrary central potential. https://doi.org/10.1103/physreva.72.042101

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