English

Influence of ion movement on the bound electron g-factor

Atomic Physics 2015-11-11 v1

Abstract

In the relativistic description of atomic systems in external fields the total momentum and the external electric field couple to the angular momentum of the individual particles. Therefore, the motional state of an ion in a particle trap influences measurements of internal observables like energy levels or the g-factor. We calculate the resulting relativistic shift of the Larmor frequency and the corresponding g-factor correction for a bound electron in a hydrogen-like ion in the 1S state due to the ion moving in a Penning trap and show that it is negligible at the current precision of measurements. We also show that the analogous energy shift for measurements with an ion in the ground state of a Paul trap vanishes in leading order.

Keywords

Cite

@article{arxiv.1507.03438,
  title  = {Influence of ion movement on the bound electron g-factor},
  author = {Niklas Michel and Jacek Zatorski and Christoph H. Keitel},
  journal= {arXiv preprint arXiv:1507.03438},
  year   = {2015}
}