Wichmann-Kroll Correction in Muonic Atoms and Hydrogen-Like Electronic Ions: a Comparative Study of Two Methods
Atomic Physics
2026-02-02 v1
Abstract
Wichmann-Kroll corrections are calculated in both hydrogen-like electronic ions and muonic systems (--) using two independent methods. The Gaussian finite basis set approach, enhanced with dual basis construction, analytical large-distance corrections, and -spline representations, provides computational efficiency. The Green function method, based on semi-analytical construction from Dirac solutions with Fermi nuclear charge distributions, offers higher systematic accuracy and freedom from basis-dependent artifacts. Results are consistent with the literature values, providing reliable reference data for precision spectroscopy of exotic atoms.
Cite
@article{arxiv.2601.22979,
title = {Wichmann-Kroll Correction in Muonic Atoms and Hydrogen-Like Electronic Ions: a Comparative Study of Two Methods},
author = {Zoia A. Mandrykina and Zewen Sun and Natalia S. Oreshkina},
journal= {arXiv preprint arXiv:2601.22979},
year = {2026}
}