QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

V. A. Agababaev; E. A. Prokhorchuk; D. A. Glazov; A. V. Malyshev; V. M. Shabaev; A. V. Volotka

doi:10.1103/cpbv-l4z1

QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

V. A. Agababaev ¹, E. A. Prokhorchuk ², D. A. Glazov ¹, A. V. Malyshev ^2,3, V. M. Shabaev ^2,3, and A. V. Volotka ¹

¹School of Physics and Engineering, ITMO University, Kronverkskiy pr. 49, 197101 St. Petersburg, Russia
²Department of Physics, St. Petersburg State University, Universitetskaya nab. 7/9, 199034 St. Petersburg, Russia
³Petersburg Nuclear Physics Institute named by B. P. Konstantinov of National Research Centre “Kurchatov Institute,” Gatchina, Russia

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Phys. Rev. A 112, 032818 – Published 29 September, 2025

DOI: https://doi.org/10.1103/cpbv-l4z1

Abstract

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1 s_{1 / 2}$ , $2 s_{1 / 2}$ , and $2 p_{1 / 2}$ states in highly charged hydrogen-like ions. The self-energy correction is evaluated using the rigorous QED approach. The vacuum-polarization correction is evaluated within the electric-loop approximation. Calculations are performed for a wide range of nuclear charge number: $Z = 14 – 92$ .

Physical Review A

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QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

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QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions

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