Hydrogenic rotational levels with spin-0 or spin-1/2 constituent particles

Vojtěch Patkóš; Mateusz Pańtak; Krzysztof Pachucki

Hydrogenic rotational levels with spin-0 or spin-1/2 constituent particles

Atomic Physics 2026-07-06 v1

Authors: Vojtěch Patkóš , Mateusz Pańtak , Krzysztof Pachucki

Abstract

We employ nonrelativistic quantum electrodynamics with a unified description of two-body systems with spin-0 or spin-1/2 constituents, arbitrary masses, and arbitrary magnetic moments in rotational states with $L>1$ , to present state-of-the-art theoretical predictions for muonic, kaonic, and antiprotonic atoms that have recently been measured or are targeted by upcoming experiments. We show that the theoretical accuracy can further be improved, opening the possibility of using precision spectroscopy of muonic and hadronic atoms for high-accuracy determinations of nuclear charge radii and nuclear electric dipole polarizabilities, and for testing the existence of hypothetical long-range hadronic interactions.

Keywords

hydrogenic atoms rotational levels nonrelativistic QED muonic atoms kaonic atoms antiprotonic atoms nuclear structure

Cite

@article{arxiv.2607.04815,
  title  = {Hydrogenic rotational levels with spin-0 or spin-1/2 constituent particles},
  author = {Vojtěch Patkóš and Mateusz Pańtak and Krzysztof Pachucki},
  journal= {arXiv preprint arXiv:2607.04815},
  year   = {2026}
}