Magnetic shielding in the atomic hydrogen anion
Abstract
The atomic hydrogen anion H is the lightest stable anion and its bound states and resonances are well studied in the literature. Due to the planned comparison of the bare antiproton to H in a Penning trap, we study the magnetic shielding of H using the nonrelativistic quantum electrodynamics theory, by accurately calculating the non-relativistic shielding, as well as finite nuclear mass, relativistic, and partially QED corrections. We find that the finite nuclear mass correction is quite significant in H contributing about of the total shielding, which is more than twice as much as the relativistic correction. Our final result for the shielding constant has a nine-parts-per-trillion accuracy and paves the way for direct comparison of the antiproton-to-proton magnetic moments.
Keywords
Cite
@article{arxiv.2508.16228,
title = {Magnetic shielding in the atomic hydrogen anion},
author = {Tymon Kilich and Krzysztof Pachucki},
journal= {arXiv preprint arXiv:2508.16228},
year = {2025}
}