Table 1 Corrections to the nuclear g-factor, electron g-factor and zero-field hyperfine splitting due to systematic effects

From: Direct measurement of the 3He+ magnetic moments

Effect

\(\varDelta {g}_{I}^{{\prime} }/{g}_{I}^{{\prime} }\left(1{0}^{-10}\right)\)

\(\varDelta {g}_{e}/{g}_{e}\left(1{0}^{-10}\right)\)

\(\Delta {E}_{{\rm{HFS}}}/{E}_{{\rm{HFS}}}({10}^{-12})\)

Relativistic

−0.33(2)

−0.21(1)

−0.084(4)

Image charge

−0.514(3)

−0.321(2)

−0.128(1)

Electrostatic anharmonicity

−0.03(5)

−0.02(3)

−0.01(1)

Magnetic inhomogeneity

0.17(2)

0.11(1)

0.044(4)

Axial dip fit

0(0.5)

0(0.3)

0(0.1)

Resonance lineshape

0(4)

0(1.5)

0(1)

Σ

−0.7(4.0)

−0.4(1.5)

−0.2(1.1)