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 Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment

Kosheleva, V. P.; Volotka, A. V.; Glazov, D. A.; Zinenko, D. V.; Fritzsche, S.

doi:10.1103/physrevlett.128.103001

Cited by 6 publications

(14 citation statements)

References 61 publications

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“…Detailed analysis are conducted on the contributions from the positive and negative energy states, Breit interaction, QED effects and nuclear recoil. The calculated g factor for Ca 17+ agrees very well with the most accurate experimental measurement [11] and some available theoretical results [12,33,35,36,38], with a difference of 2.4 × 10 −5 . The g factors of the ground state of Sn 47+ and Bi 80+ ions are theoretically determined to be 1.980429 and 1.934759 respectively, with a calculation accuracy at the level of 10 −5 .…”

Section: Discussionsupporting

confidence: 83%

“…The presently calculated contribution of the QED effect, using equation (4), is 0.00232 as listed in table 5. Our result for Ca 17+ ions is in good agreement with the ab initio QED calculations [12,33,35,36,38], which include the contributions of the first and second order as well as the screened QED effects. The differences between our calculation and these ab initio QED calculations are of the order of 10 −7 .…”

Section: Landé G Factorsupporting

confidence: 86%

“…Since the normal mass shift and the specific mass shift affect the wavefunctions, we also discuss their contributions to the g factors. As shown in table 5, our calculated result for Ca 17+ ions is larger than that of [12,35,36]. The primary reason for this discrepancy lies in the different calculation methods.…”

Section: Landé G Factormentioning

confidence: 69%

“…The presently calculated result for the Ca 17+ ion is 0.0004794. The differences between our calculations and those of the QED perturbative theory [12,33,[35][36][37][38] are on the level of 10 −5 . These discrepancies are mainly due to the fact that the influence of external magnetic fields on the electron correlation effects is not included in our calculations.…”

Section: Landé G Factormentioning

confidence: 89%

“…In our approach, we incorporate the nuclear recoil correction into the Hamiltonian and subsequently rediagonalize the Hamiltonian matrix. Conversely, the results in [12,35,36] were obtained using perturbation methods. The total g factor is determined by summing up the above mentioned effects, including the g D , Δg PS , Δg NS , Δ g QED , Δ g Recoil and Δ g SE +Δ g VP .…”

Section: Landé G Factormentioning

confidence: 99%

See 4 more Smart Citations

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions

Liu,

Li,

et al. 2024

Phys. Scr.

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The wavefunctions and eigenvalues of the ground states of Sn 47+ ,and Bi 80+ ions are calculated using the fully relativistic multiconfiguration Dirac-Hartree-Fock (MCDHF) method. Detailed investigation are carried out to studythe effects of electron correlation, Breit interaction, quantum electrodynamics(QED), and nuclear recoil. Based on these calculations, the theoretical predictionsfor the g factors of the ground states of Sn 47+ and Bi 80+ ions are 1.980429 and1.934759, respectively. The accuracy of these calculations is expected to be on theorder of 10-5 .

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Section: Discussionsupporting

confidence: 83%

Section: Landé G Factorsupporting

confidence: 86%

Section: Landé G Factormentioning

confidence: 69%

Section: Landé G Factormentioning

confidence: 89%

Section: Landé G Factormentioning

confidence: 99%

See 3 more Smart Citations

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions

Liu,

Li,

et al. 2024

Phys. Scr.

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Stringent test of QED with hydrogen-like tin

Morgner,

Tu,

König

et al. 2023

Nature

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Inner-shell electrons naturally sense the electric field close to the nucleus, which can reach extreme values beyond 1015 V cm−1 for the innermost electrons1. Especially in few-electron, highly charged ions, the interaction with the electromagnetic fields can be accurately calculated within quantum electrodynamics (QED), rendering these ions good candidates to test the validity of QED in strong fields. Consequently, their Lamb shifts were intensively studied in the past several decades2,3. Another approach is the measurement of gyromagnetic factors (g factors) in highly charged ions4–7. However, so far, either experimental accuracy or small field strength in low-Z ions5,6 limited the stringency of these QED tests. Here we report on our high-precision, high-field test of QED in hydrogen-like 118Sn49+. The highly charged ions were produced with the Heidelberg electron beam ion trap (EBIT)8 and injected into the ALPHATRAP Penning-trap setup9, in which the bound-electron g factor was measured with a precision of 0.5 parts per billion (ppb). For comparison, we present state-of-the-art theory calculations, which together test the underlying QED to about 0.012%, yielding a stringent test in the strong-field regime. With this measurement, we challenge the best tests by means of the Lamb shift and, with anticipated advances in the g-factor theory, surpass them by more than an order of magnitude.

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Testing quantum electrodynamics in extreme fields using helium-like uranium

Loetzsch,

Beyer,

Duval

et al. 2024

Nature

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Quantum electrodynamics (QED), the quantum field theory that describes the interaction between light and matter, is commonly regarded as the best-tested quantum theory in modern physics. However, this claim is mostly based on extremely precise studies performed in the domain of relatively low field strengths and light atoms and ions1–6. In the realm of very strong electromagnetic fields such as in the heaviest highly charged ions (with nuclear charge Z ≫ 1), QED calculations enter a qualitatively different, non-perturbative regime. Yet, the corresponding experimental studies are very challenging, and theoretical predictions are only partially tested. Here we present an experiment sensitive to higher-order QED effects and electron–electron interactions in the high-Z regime. This is achieved by using a multi-reference method based on Doppler-tuned X-ray emission from stored relativistic uranium ions with different charge states. The energy of the 1s1/22p3/2 J = 2 → 1s1/22s1/2 J = 1 intrashell transition in the heaviest two-electron ion (U90+) is obtained with an accuracy of 37 ppm. Furthermore, a comparison of uranium ions with different numbers of bound electrons enables us to disentangle and to test separately the one-electron higher-order QED effects and the bound electron–electron interaction terms without the uncertainty related to the nuclear radius. Moreover, our experimental result can discriminate between several state-of-the-art theoretical approaches and provides an important benchmark for calculations in the strong-field domain.

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g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment

Cited by 6 publications

References 61 publications

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions

Stringent test of QED with hydrogen-like tin

Testing quantum electrodynamics in extreme fields using helium-like uranium

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g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment

Cited by 6 publications

References 61 publications

The Landé g factors of highly charged Sn47+ and Bi80+ ions

The Landé g factors of highly charged Sn47+ and Bi80+ ions

Stringent test of QED with hydrogen-like tin

Testing quantum electrodynamics in extreme fields using helium-like uranium

Contact Info

Product

Resources

About

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions

The Landé g factors of highly charged Sn⁴⁷⁺ and Bi⁸⁰⁺ ions