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MPINP:
Research group Z. Harman – Division C. H. Keitel
Abstract:
The bound electron g-factor is one of the most precisely measured and calculated
quantities in atomic physics and provides also the most stringent test of the magnetic
sector of bound state quantum electrodynamics. Despite increasing accuracy
both in experiment and theory, to date no discrepancy between the measured and
theoretically predicted value of the bound electron g-factor has been found. In
this thesis, the correction of the bound electron g-factor in hydrogen-like ions
due to a non-spherical nuclear charge distribution is evaluated for a wide range
of nuclear deformation parameters. This effect scales strongly with the nuclear
charge and the nuclear shell structure is reflected in the resulting g-factor correction.
Also, the effect on the bound electron g-factor due to the ion moving in a
Penning trap is investigated and it is shown that this is negligible at the current
precision of measurement. An analogous effect on measurements with an ion in
the motional ground state of a Paul trap is shown to vanish in leading order.
