SAMOP 2021 – scientific programme
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A: Fachverband Atomphysik
A 2: Precision spectroscopy of atoms and ions (joint session A/Q)
A 2.18: Poster
Monday, September 20, 2021, 16:30–18:30, P
Theory of the Zeeman and hyperfine splitting of the 3He+ ion — •Bastian Sikora, Zoltán Harman, Natalia S. Oreshkina, Igor Valuev, and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Heidelberg, Germany
When exposed to an external magnetic field, the combined hyperfine and Zeeman effect leads to a splitting of the ground state of the 3He+ ion into four sublevels. Measurements of transition frequencies [1] between these sublevels allow the determination of the bound electron’s g-factor, the ground-state hyperfine splitting in the absence of an external magnetic field as well as the magnetic moment of the nucleus, shielded by the presence of the bound electron.
We present the theoretical calculation of the shielding constant which is required to extract the magnetic moment of the bare nucleus. Furthermore, we present the theory of the ground-state hyperfine splitting and the bound-electron g-factor. The theoretical accuracy of the bound-electron g-factor is limited by the accuracy of the fine-structure constant α. Furthermore, assuming the correctness of theory of hyperfine splitting, one can extract the nuclear Zemach radius from the experimental hyperfine splitting value.
[1] A. Mooser, A. Rischka, A. Schneider, et al., J. Phys.: Conf. Ser. 1138, 012004 (2018)