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

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.

arXiv comment4 pages, RevTeX, some comments added

References in corpus (3)

• Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom
• Virtual light-by-light scattering and the g factor of a bound electron
• Finite nuclear size effect on Lamb shift of s1/2, p1/2, and p3/2 atomic states

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• Testing Standard Model extensions with few-electron ions
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• Hadronic vacuum polarization correction to the bound-electron $g$ factor
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• Fermion selective tests of new physics with the bound electron g-factor