Anomalous magnetic moment of a bound electron
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
Abstract
We study binding corrections to the gyromagnetic factor ge of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta grad are universal to all orders in alpha/pi and the complete result reads Delta grad = (gfree - 2) [1+(Z alpha)2/6] + O[alpha/pi (Zalpha)4]. The theoretical uncertainty in the prediction for the experimentally interesting carbon ion is decreased by a factor of about 3.
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