The hyperfine interaction as a probe of the microscopic structure of the atomic nucleus

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Auteurs principaux: Janković, Denis, Hartmann, Jean-Gabriel, Bartel, Johann, Molique, Hervé, Bonneau, Ludovic, Hervieux, Paul-Antoine
Format: Preprint
Publié: 2026
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author Janković, Denis
Hartmann, Jean-Gabriel
Bartel, Johann
Molique, Hervé
Bonneau, Ludovic
Hervieux, Paul-Antoine
author_facet Janković, Denis
Hartmann, Jean-Gabriel
Bartel, Johann
Molique, Hervé
Bonneau, Ludovic
Hervieux, Paul-Antoine
contents The study of highly charged electronic and muonic hydrogen-like ions, provides an intriguing way to probe the internal structure of their atomic nuclei. In this work, we use nuclear structure calculations to accurately calculate the hyperfine splitting of electronic and muonic hydrogen-like ions, focusing in particular on the incorporation of finite-volume corrections, such as Bohr-Weisskopf and Breit-Rosenthal, due to the penetration of the electron and muon wavefunction into the nuclear electric charge and magnetic dipole densities. These corrections are essential for refining our understanding of the nuclear magnetic dipole and electric quadrupole moments. Our simulations use a Skyrme-Hartree-Fock-BCS model known for its effectiveness in modeling well-deformed nuclei such as ${}^{159}\mathrm{Tb}^{64+}$ and ${}^{165}\mathrm{Ho}^{66+}$, with particular emphasis on ${}^{161,163}\mathrm{Dy}^{65+}$ isotopes. It can also be generalised to multi-electron ions by studying the hyperfine anomaly between two isotopes.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18144
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The hyperfine interaction as a probe of the microscopic structure of the atomic nucleus
Janković, Denis
Hartmann, Jean-Gabriel
Bartel, Johann
Molique, Hervé
Bonneau, Ludovic
Hervieux, Paul-Antoine
Atomic Physics
Nuclear Theory
Quantum Physics
The study of highly charged electronic and muonic hydrogen-like ions, provides an intriguing way to probe the internal structure of their atomic nuclei. In this work, we use nuclear structure calculations to accurately calculate the hyperfine splitting of electronic and muonic hydrogen-like ions, focusing in particular on the incorporation of finite-volume corrections, such as Bohr-Weisskopf and Breit-Rosenthal, due to the penetration of the electron and muon wavefunction into the nuclear electric charge and magnetic dipole densities. These corrections are essential for refining our understanding of the nuclear magnetic dipole and electric quadrupole moments. Our simulations use a Skyrme-Hartree-Fock-BCS model known for its effectiveness in modeling well-deformed nuclei such as ${}^{159}\mathrm{Tb}^{64+}$ and ${}^{165}\mathrm{Ho}^{66+}$, with particular emphasis on ${}^{161,163}\mathrm{Dy}^{65+}$ isotopes. It can also be generalised to multi-electron ions by studying the hyperfine anomaly between two isotopes.
title The hyperfine interaction as a probe of the microscopic structure of the atomic nucleus
topic Atomic Physics
Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2602.18144