Experimental g factor of hydrogenlike silicon-28

The magnetic moment of the electron, expressed by the g-factor in units of the Bohr magneton, is a key quantity in the theory of quantum electrodynamics (QED). Experiments using single particles confined in Penning traps have provided very precise values of the g-factor for the free electron as well as the electron bound in hydrogen-like ions. In this paper the status of these experiments is reviewed. The results allow testing calculations of higher order Feynman diagrams. Comparison of experimental and theoretical results for free and bound particles show no discrepancy within the limits of error, thus representing to date the most sensitive test of QED. Moreover, the g-factor provides a unique access to fundamental constants, as e.g. the electron mass or the fine structure constant.

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“…A sketch of this triple-trap configuration is shown in Fig. 15, a more detailed description is given in [56].…”

Section: Triple-trap Configurationmentioning

confidence: 99%

Electron g‐factor determinations in Penning traps

2013

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“…Moreover, the sensitivity to relativistic effects is increased due to the higher nuclear charge Z. In our experiment we follow the procedure for our g factor determination of hydrogenlike silicon 28 Si 13þ [9,13]. A single ion is created and confined in a triple-Penning trap system of 7 mm inner diameter (see Fig.…”

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confidence: 99%

“…The ion's axial frequency can be detected as a minimum, a so-called ''dip,'' in the thermal noise spectrum of the resonator, which appears at the oscillation frequency of the ion. The precise value of the axial frequency is deduced from a fit to the data [13].…”

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confidence: 99%

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gFactor of Lithiumlike SiliconSi11+28

et al. 2013

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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.

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“…The developments, techniques and methods presented in this paper are of great interest to other high-precision Penning trap experiments, such as those for the determination of the g-factor of highly charged ions [14] and of the electron [3]. Also high-accuracy mass measurements [15,16] can directly benefit from the acquired knowledge.…”

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confidence: 99%