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Anomalous Magnetic Moment of a Bound Electron

Technical Report ·
DOI:https://doi.org/10.2172/787173· OSTI ID:787173

We study binding corrections to the gyromagnetic factor g{sub e} of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections {Delta}g{sub rad} are universal to all orders in {alpha}/{pi} and the complete result reads {Delta}g{sub rad} = (g{sub free} - 2) {center_dot} [1 + (Z{alpha}){sup 2}/6] + {Omicron} ({alpha}/{pi} {center_dot} (Z{alpha}){sup 4}). The theoretical uncertainty in the prediction for the experimentally interesting carbon ion is decreased by a factor of about 3.

Research Organization:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
787173
Report Number(s):
SLAC-PUB-8522
Country of Publication:
United States
Language:
English

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