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arXiv · 2011.11217

Inertial and gravitational effects on a geonium atom

Asuka Ito
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Abstract

We reveal all linear order inertial and gravitational effects on a non-relativistic Dirac particle (mass $m$) on the Earth up to the order of $1/m$ in the Foldy-Wouthuysen-like expansion. Applying the result to Penning trap experiments where a Dirac particle experiences the cyclotron motion and the spin precession in a cavity, i.e., a geonium atom, we study modifications to the $g$-factor of such as the electron. It is shown that each correction from gravity has different dependence on the cyclotron frequency and the mass $m$. Therefore, their magnitude change depending on situations. In a particular case of an electron $g$-factor measurement, the dominant correction to the observed $g$-factor comes from effects of the Earth's rotation, which is $\delta g / 2 \simeq 5.2 \times 10^{-17}$. It may be detectable in the near future.

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Asuka Ito. 2020-11-23. Inertial and gravitational effects on a geonium atom. https://doi.org/10.1088/1361-6382%2Fac1be9

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