gFactor of Lithiumlike SiliconSi11+28

Abstract

The g factor of lithiumlike silicon (28)Si(11+) has been measured in a triple-Penning trap with a relative uncertainty of 1.1×10(-9) to be g(exp)=2.000 889 889 9(21). The theoretical prediction for this value was calculated to be g(th)=2.000 889 909(51) improving the accuracy to 2.5×10(-8) due to the first rigorous evaluation of the two-photon exchange correction. The measured value is in excellent agreement with the theoretical prediction and yields the most stringent test of bound-state QED for the g factor of the 1s(2)2s state and the relativistic many-electron calculations in a magnetic field.

gFactor of Light Ions for an Improved Determination of the Fine-Structure Constant

“…In this Letter we propose a weighted difference of the g-factors of low-Z ions, for which a much stronger cancelation of nuclear effects can be achieved. The low-Z region also seems favorable from the experimental point of view, since experiments so far concentrated in this regime [9][10][11].Measurements of the g-factor of H-like ions have reached the fractional level of accuracy of 3 × 10 −11 [9]. Experiments have also been performed for Li-like ions [10].…”

“…The low-Z region also seems favorable from the experimental point of view, since experiments so far concentrated in this regime [9][10][11].…”

“…In this Letter we propose a weighted difference of the g-factors of low-Z ions, for which a much stronger cancelation of nuclear effects can be achieved. The low-Z region also seems favorable from the experimental point of view, since experiments so far concentrated in this regime [9][10][11].…”

“…Experiments have also been performed for Li-like ions [10]. In the future, it should be possible to perform experiments not only with a single ion in the trap, but also with several ions simultaneously.…”

“…(6), (10), and (12), we arrive at the total Ξ-weighted difference of the g-factors of the Li-and H-like charge states in Eq. (1), with the weight parameter Ξ defined by Eq.…”