Measurement of the g-factors and zero-field hyperfine splitting of 3He+ in a 
Penning trap

Schneider, Antonia

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Thesis

Measurement of the g-factors and zero-field hyperfine splitting of³He⁺ in a Penning trap

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Schneider, Antonia
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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Citation

Schneider, A. (2022). Measurement of the g-factors and zero-field hyperfine splitting of³He⁺ in a Penning trap. PhD Thesis, Ruprecht-Karls-Universität, Heidelberg.

Cite as: https://hdl.handle.net/21.11116/0000-000A-CE36-2

Abstract

The ground-state hyperfine splitting of ³He⁺ in a strong external magnetic field is investigated
in a Penning-trap setup that was newly constructed in the context of this thesis.
The nuclear g-factor of ³He⁺g′
I = − 4.255 099 606 9(30)_stat(17)_sys was measured for the
first time directly. This result is one order of magnitude more precise than previous indirect
determinations and provides a calibration for ³He NMR probes via the accurately
calculated diamagnetic shielding parameters of ³He⁺and atomic 3He. The experimental
result for the bound electron g-factor of ³He⁺ g_e = −2.002 177 415 79(34) )_stat(30)_sys is consistent
with the state-of-the-art theoretical value. Furthermore, the zero-field hyperfine
splitting EHFS = −8 665 649 865.77(26) )_stat(1)_sys Hz was extracted from the measurement
and allows to calculate the Zemach radius r_Z = 2.608(24) fm, which characterizes the
electric and magnetic form factors of the nucleus.