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Erlangen 2022 – scientific programme

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A: Fachverband Atomphysik

A 32: Precision spectroscopy of atoms and ions IV (joint session A/Q)

A 32.2: Talk

Friday, March 18, 2022, 11:00–11:15, A-H2

Theory of the 3He+ magnetic moments and hyperfine splitting — •Bastian Sikora, Zoltán Harman, Natalia S. Oreshkina, Igor Valuev, and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Heidelberg, Germany

In an external magnetic field, the ground state of the 3He+ ion is split into four sublevels due to hyperfine and Zeeman effect. The bound electron’s g-factor, the ground-state hyperfine splitting as well as the shielded magnetic moment of the nucleus can be determined by measurements of transition frequencies between these sublevels [1,2].

We present the theoretical calculation of the nuclear shielding constant, the ground-state hyperfine splitting and the bound-electron g-factor. The nuclear shielding constant is required to extract the magnetic moment of the bare nucleus with unprecedented precision, enabling new applications in magnetometry. Furthermore, one can extract the nuclear Zemach radius from the experimental hyperfine splitting value. The theoretical uncertainty of the bound-electron g-factor is dominated by the uncertainty of the fine-structure constant, allowing in principle an independent determination of α in future.

[1] A. Mooser et al., J. Phys.: Conf. Ser. 1138:012004 (2018)

[2] A. Schneider et al., submitted (2021)

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