Screened QED corrections to the g factor of Li-like ions

Glazov, D. A.; Volotka, A. V.; Shabaev, V. M.; Tupitsyn, I. I.; Plunien, G.

doi:10.1016/j.physleta.2006.04.056

Cited by 51 publications

(58 citation statements)

References 55 publications

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“…However, the relativistic interaction of the valence electron with the 1s core plays a role. A comparison of the prediction [81,82] with the experimentally determined value then yields a stringent test of the quantumelectrodynamic calculations in the three electron system [66]. Provided that the theoretical evaluation can appropriately account for the three electron interaction, the gfactor of the valence electron can be used to extract important information about the size and the structure of the nucleus, which is an important prerequisite for the interpretation of results in heavy, hydrogen-like ions.…”

Section: Future Experimentsmentioning

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: Future Experimentsmentioning

confidence: 99%

Electron g‐factor determinations in Penning traps

2013

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“…which we employed successfully in previous calculations [42,43,44,45]. Here V nuc is the potential of the extended nucleus and ρ t denotes the total one-electron density.…”

Section: One-loop Radiative Contributionmentioning

confidence: 99%

Ground-state hyperfine structure of H-, Li-, and B-like ions in the intermediate-Zregion

et al. 2008

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The hyperfine splitting of the ground state of H-, Li-, and B-like ions is investigated in details within the range of nuclear numbers Z = 7 − 28. The rigorous QED approach together with the large-scale configuration-interaction Dirac-Fock-Sturm method are employed for the evaluation of the interelectronicinteraction contributions of first and higher orders in 1/Z. The screened QED corrections are evaluated to all orders in αZ utilizing an effective potential approach. The influence of nuclear magnetization distribution is taken into account within the single-particle nuclear model. The specific differences between the hyperfinestructure level shifts of H-and Li-like ions, where the uncertainties associated with the nuclear structure corrections are significantly reduced, are also calculated.

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“…Данный подход позволяет частично учесть поправки высших порядков по 1/Z. Мы рассматриваем хорошо известные потенциалы Хартри (CH), Кона-Шэма (KS) и локальный потенциал Дирака-Фока (LDF) (см., например, [37][38][39][40][41] и ссылки там).…”

Section: основные формулыunclassified