Calculations of magnetic moments for lithium-like ions

Yan, Zong-Chao

doi:10.1088/0953-4075/35/8/307

Cited by 29 publications

(50 citation statements)

References 20 publications

(40 reference statements)

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“…This result is combined with the radiative and second order in m e · m nucl −1 recoil corrections19212324 to get the total one-electron contribution. To evaluate the interelectronic-interaction contribution to the recoil effect of the first and higher orders in Z −1 , we extrapolated the related results obtained to the lowest relativistic order25 (Methods section). The uncertainty of this contribution is mainly due to uncalculated higher order relativistic and QED corrections.…”

Section: Resultsmentioning

confidence: 99%

Isotope dependence of the Zeeman effect in lithium-like calcium

et al. 2016

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The magnetic moment μ of a bound electron, generally expressed by the g-factor μ=−g μB s ħ−1 with μB the Bohr magneton and s the electron's spin, can be calculated by bound-state quantum electrodynamics (BS-QED) to very high precision. The recent ultra-precise experiment on hydrogen-like silicon determined this value to eleven significant digits, and thus allowed to rigorously probe the validity of BS-QED. Yet, the investigation of one of the most interesting contribution to the g-factor, the relativistic interaction between electron and nucleus, is limited by our knowledge of BS-QED effects. By comparing the g-factors of two isotopes, it is possible to cancel most of these contributions and sensitively probe nuclear effects. Here, we present calculations and experiments on the isotope dependence of the Zeeman effect in lithium-like calcium ions. The good agreement between the theoretical predicted recoil contribution and the high-precision g-factor measurements paves the way for a new generation of BS-QED tests.

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Section: Resultsmentioning

confidence: 99%

Isotope dependence of the Zeeman effect in lithium-like calcium

et al. 2016

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“…Since for middle-Z ions the accuracy of our previous results [18] turns out to be better than that of the present ones, in the final compilation (see below) for Z < 30 we present the values of ∆g SQED from [18]. We mention that these values include terms of higher order in 1/Z calculated by Yan [28]. For Z > 30 we take the present data, obtained with the Kohn-Sham potential.…”

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confidence: 77%

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

et al. 2006

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“…These recursions involve initial terms and two-electron integrals. For the initial term f (−1, 0, 0, 0, 0, 0) as a function of w 1 , These extended Hylleraas integrals are necessary for the calculation of relativistic effects in lithium and light lithium-like ions [5,6,7,8]. One interesting goal is the high precision calculation of the lithium hyperfine splitting [18], which can serve as a benchmark result for other less accurate methods.…”

Section: Discussionmentioning

confidence: 99%

“…All other recursions are calculated directly as in Eqs. (7,8,12,20,21). They involve two-electron integrals Γ.…”

Section: Numerical Evaluationmentioning

confidence: 99%