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

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

2005-06-07

arxiv.org/abs/hep-ph/0506060v2

Phys.Rev. A72 (2005) 042101

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, RevTeX, some comments added

Scientific paper

10.1103/PhysRevA.72.042101

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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