g-factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and ExperimentONLINE ONLY

A bound electron's g-factor is a rigorous tool for validating the Standard Model and searching for novel physics. A measurement of the g-factor for lithium-like silicon was recently reported, and it differs by 1.7􀉊 from theoretical prediction [1]. In an attempt to resolve this deviation, another theoretical value for silicon has been delivered. It yields a 5􀉊 discrepancy with the experimental value [2]. To determine the source of this disagreement, we perform large-scale high-precision simulations of the inter-electronic interaction and many-electron QED corrections. We perform the calculations within the extended Furry picture of QED. And we carefully analyze how the choice of the binding potential affects the final values. Consequently, the agreement between theory and experiment for the g-factor of lithium-like silicon improves substantially [3]. Furthermore, we provide the most precise and accurate theoretical prediction for lithium-like calcium, which perfectly agrees with the experimental value.

[1] D. A. Glazov, F. Köhler-Langes, A. V. Volotka, K. Blaum, F. Heiße, G. Plunien, W. Quint, S. Rau,
V. M. Shabaev, S. Sturm, et al., Phys. Rev. Lett. 123, 173001 (2019).
[2] V. A. Yerokhin, K. Pachucki, M. Puchalski, C. H. Keitel, and Z. Harman, Phys. Rev. A 102, 022815
(2020).
[3] V. P. Kosheleva, A. V. Volotka, D. A. Glazov, D. V. Zinenko, and S. Fritzsche, Phys. Rev. Lett.
128, 103001 (2022).

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