Two-photon exchange corrections to the $g$ factor of Li-like ions

Abstract

We report calculations of QED corrections to the $g$ factor of Li-like ions induced by the exchange of two virtual photons between the electrons. The calculations are performed within QED theory to all orders in the nuclear binding strength parameter $Z\alpha$, where $Z$ is the nuclear charge number and $\alpha$ is the fine-structure constant. In the region of low nuclear charges we compare results from three different methods: QED, relativistic many-body perturbation theory, and nonrelativistic QED. All three methods are shown to yield consistent results. With our calculations we improve the accuracy of the theoretical predictions of the $g$ factor of the ground state of Li-like carbon and oxygen by about an order of magnitude. Our theoretical results agree with those from previous calculations but differ by 3-4 standard deviations from the experimental results available for silicon and calcium.

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Cited by in corpus (7)

• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Electron correlation effects on the $g$ factor of lithiumlike ions
• One-loop electron self-energy with accelerated partial-wave expansion in Coulomb gauge
• Testing inter-electronic interaction in lithium-like tin
• $g$ Factor of Boron-like Tin
• Insight into the prospective evaluation of third-order interelectronic corrections on Li-like ions