Mass measurements and the bound-electron g factor

Jentschura, Ulrich D.; Czarnecki, Andrzej; Pachucki, Krzysztof; Yerokhin, V. A.

doi:10.1016/j.ijms.2005.12.051

Cited by 36 publications

(22 citation statements)

References 38 publications

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“…They have been calculated by several groups with uncertainties ranging from 10 −12 for low-Z ions up to 10 −5 for hydrogen-like uranium [39,41,42]. Figure 11 illustrates Figure 11 QED, nuclear size and recoil contributions to the g-factor bound in hydrogen-like ions for low numbers of the nuclear charge [40].…”

Section: 2 the Single Bound Electronmentioning

confidence: 99%

Electron g‐factor determinations in Penning traps

2013

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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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Section: 2 the Single Bound Electronmentioning

confidence: 99%

Electron g‐factor determinations in Penning traps

2013

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“…Therefore one can fit the electron mass to a value that experimental and theoretical results agree. This value [12] for m = 0.000 548 579 909 32 (29) u is more precise that the directly measured value [13] and determines mainly the entry into the present compilation of fundamental constants [14].…”

Section: Methodsmentioning

confidence: 85%

Precision spectroscopy with individual ions

et al. 2010

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Individual charged atomic or molecular particles can be confined by electromagnetic fields for nearly unlimited times under well controlled conditions in a small volume in space. This allows performing spectroscopic experiments with unprecedented accuracy. We discuss a project to determine the magnetic moment of the electron bound in hydrogen-like ions with different nuclear charges. This serves for testing bound-state quantum-electrodynamics calculations with high precision. Previous results on C 5+ and O 7+ as well as the present status of the project with Si 13+ and Ca 19+ are presented in this contribution and future possibilities are discussed.

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“…The same will be true for the deuteron. A precise mass for 4 He is needed for measurements of the electronic g-factor of 4 He + , which can be used to obtain the electron mass and, possibly in the future, the fine-structure constant [72] (but also see Section 5).…”

Section: Atomic Masses Of Hydrogen and Helium Isotopesmentioning

confidence: 99%

High-Precision Atomic Mass Measurements for Fundamental Constants

Myers

2019

Atoms

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Atomic mass measurements are essential for obtaining several of the fundamental constants. The most precise atomic mass measurements, at the 10−10 level of precision or better, employ measurements of cyclotron frequencies of single ions in Penning traps. We discuss the relation of atomic masses to fundamental constants in the context of the revised SI. We then review experimental methods, and the current status of measurements of the masses of the electron, proton, neutron, deuteron, tritium, helium-3, helium-4, oxygen-16, silicon-28, rubidium-87, and cesium-133. We conclude with directions for future work.

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Mass measurements and the bound-electron g factor

Cited by 36 publications

References 38 publications

Electron g‐factor determinations in Penning traps

Electron g‐factor determinations in Penning traps

Precision spectroscopy with individual ions

High-Precision Atomic Mass Measurements for Fundamental Constants

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