<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi></mml:math>-Factor of Heavy Ions: A New Access to the Fine Structure Constant

Shabaev, V. M.; Glazov, D. A.; Oreshkina, Natalia S.; Volotka, A. V.; Plunien, G.; Kluge, H.-J.; Quint, W.

doi:10.1103/physrevlett.96.253002

Cited by 142 publications

(131 citation statements)

References 29 publications

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“…In Ref. 7 it was shown that both the parameter ξ and the difference g ′ are very stable with respect to variations of the nuclear structure parameters. At the same time the α-dependent term is reduced in this difference by about 4% only.…”

Section: Determination Of the Fine Structure Constantmentioning

confidence: 99%

“…As was shown in Refs. 6,7 , this can be done by studying specific differences of the g factors of H-, Li-, and B-like ions. Therefore, accurate calculations of all these ions are required to provide stringent tests of the theoretical methods employed for the g-factor calculations and to use these studies for determination of the fundamental constants.…”

Section: Introductionmentioning

confidence: 99%

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Theory of Bound-Electron g Factor in Highly Charged Ions

Shabaev

Glazov

Plunien

et al. 2015

Journal of Physical and Chemical Reference Data

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The paper presents the current status of the theory of bound-electron g factor in highly charged ions. The calculations of the relativistic, QED, nuclear recoil, nuclear structure, and interelectronic-interaction corrections to the g factor are reviewed. Special attention is paid to tests of QED effects at strong coupling regime and determinations of the fundamental constants. a) Invited paper published as part of the Proceedings of the Fundamental Constants Meeting, Eltville, Germany, February, 1-6, 2015.

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Section: Determination Of the Fine Structure Constantmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of Bound-Electron g Factor in Highly Charged Ions

Shabaev

Glazov

Plunien

et al. 2015

Journal of Physical and Chemical Reference Data

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“…In Ref. [40] it was shown that the ultimate accuracy limit can be significantly reduced in the difference…”

Section: Bound-electron G-factormentioning

confidence: 99%

Quantum Electrodynamics of Heavy Ions and Atoms

Shabaev¹,

Artemyev²,

Glazov³

et al. 2006

AIP Conference Proceedings

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The present status of quantum electrodynamics (QED) theory of heavy few-electron ions is reviewed. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED at strong fields and on determination of the fundamental constants. A recent progress on calculations of the QED corrections to the parity nonconserving 6s-7s transition amplitude in neutral Cs is also discussed.

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“…This independent scheme may be used to extract the fine-structure constant from a comparison of experimental and theoretical bound-electron g-factors with an accuracy competitive with or better than the current value. 0.000 000 601 506 0 α(Zα) 4 0.000 000 014 797 0 α(Zα) 5+ 0.000 000 015 48 (52) 2-loop QED α 2 (Zα) 0 −0.000 003 186 116 6 α 2 (Zα) 2 −0.000 000 000 917 9 α 2 (Zα) 4 −0.000 000 000 084 4 α 2 (Zα) 5+ 0.000 000 000 00 (13) ≥ 3-loop QED α 3 (Zα) 0 0.000 000 026 517 7 (1) α 3 (Zα) 2 0.000 000 000 007 6 α 3 (Zα) 4+ 0.000 000 000 000 0 (11) Recoil:…”

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confidence: 99%

“…In Ref. [4] (see also [5]), a specific weighted difference of the g-factors of heavy H-and B-like ions with the same Z was put forward. It was demonstrated that the theoretical uncertainty of the nuclear size effect in this difference can be brought down to 4 × 10 −10 for heavy ions around Pb, which was several times smaller than the uncertainty due to α at that time.…”

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confidence: 99%

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

et al. 2016

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A weighted difference of the g-factors of the H-and Li-like ions of the same element is theoretically studied and optimized in order to maximize the cancelation of nuclear effects between the two charge states. We show that this weighted difference and its combination for two different elements can be used to extract a value for the fine-structure constant from near-future bound-electron g-factor experiments with an accuracy competitive with or better than the present literature value. PACS numbers: 06.20.Jr, 21.10.Ky, 31.30.jn, 31.15.ac, 32.10.Dk Precision measurements of the free-electron g-factor have enabled determination of the fine-structure constant α to a high accuracy [1, 2]. An independent value of α may be extracted from the measurement of the g-factor of an electron bound in an H-like ion. This can be accomplished by identifying the leading relativistic (Dirac) contribution g D = 2 /3 1 + 2 1 − (Zα) 2 , with Z being the nuclear charge number, after subtracting corrections induced by quantum electrodynamics (QED) and nuclear effects from the measured value. The sensitivity of g D to α is largest for heavy ions. For these ions, however, nuclear effects (charge distributions, polarizabilities etc.) are not well understood and set a limitation on the ultimate accuracy of such determination.In Ref.[3], it was suggested to use a weighted difference of the g-factors of the H-and Li-like charge states of the same element in order to reduce the nuclear size effect by about two orders of magnitude for high-Z ions. In Ref.[4] (see also [5]), a specific weighted difference of the g-factors of heavy H-and B-like ions with the same Z was put forward. It was demonstrated that the theoretical uncertainty of the nuclear size effect in this difference can be brought down to 4 × 10 −10 for heavy ions around Pb, which was several times smaller than the uncertainty due to α at that time. Since then, however, the uncertainty of α was reduced by an order of magnitude [6][7][8], making it more difficult to access α in such experiments. 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]. 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. Such a setup will directly access differences of g-factors of different ions, greatly reducing systematic uncertainties and possibly gaining two orders of magnitude in accuracy [12]. Such experiments, complemented by corresponding improvements in the theoretical description, would become sensitive to the uncertainty of α.In the present Letter we put forward a method to extract α to higher accura...

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g-Factor of Heavy Ions: A New Access to the Fine Structure Constant

Cited by 142 publications

References 29 publications

Theory of Bound-Electron g Factor in Highly Charged Ions

Theory of Bound-Electron g Factor in Highly Charged Ions

Quantum Electrodynamics of Heavy Ions and Atoms

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

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