Testing strong-field QED to second-order in the highly correlated atomic system berylliumlike Pb78+ by electron-ion recombination spectroscopy
S. Schippers, C. Brandau, S. Fuchs, M. Lestinsky, S. X. Wang, C. Y. Zhang, N. R. Badnell, A. Borovik Jr., M. Fogle, V. Hannen, Z. Harman, P.-M. Hillenbrand, E. B. Menz, Y. Zhang, Z. Andelkovic, F. Herfurth, R. He{\ss}, A. Kalinin, C. Kozhuharov, C. Krantz, S. Litvinov

TL;DR
This study measures electron-ion recombination in highly charged berylliumlike lead ions to test second-order strong-field QED predictions, achieving results that closely match advanced theoretical calculations and indicating potential for even higher precision.
Contribution
First experimental verification of second-order strong-field QED effects in a heavy, few-electron ion using high-resolution spectroscopy.
Findings
Measured excitation energy of Pb$^{78+}$ with high precision
Results agree with second-order strong-field QED calculations
Demonstrated potential for further experimental accuracy improvements
Abstract
A low-energy storage ring with an ultracold electron cooler has been coupled with a heavy-ion accelerator facilitating high-resolution electron-ion collision spectroscopy of the heaviest few-electron ions. In the present work resonant electron-ion recombination of berylliumlike Pb ions was measured in the collision-energy range 9.3-16.5eV and a value of 244.937(30) eV is derived for the Pb() excitation energy. This result agrees with the most recent (less accurate) theoretical value of 244.942(52) eV [Malyshev et al., Physical Review A 110, 062824 (2024)], which has been calculated by applying strong-field QED rigorously up to the second order. The present investigation suggests that further technical improvements can potentially increase the experimental accuracy by an order of magnitude.
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