Interrogating the composition and distribution of nuclear magnetization via the hyperfine anomaly: experiment meets nuclear and atomic theory for short-lived $^{47}$K

[2603.20090] Interrogating the composition and distribution of nuclear magnetization via the hyperfine anomaly: experiment meets nuclear and atomic theory for short-lived $^{47}$K Skip to main content Search Submit Donate Log in Nuclear Experiment arXiv:2603.20090 (nucl-ex) [Submitted on 20 Mar 2026 ( v1 ), last revised 27 Aug 2026 (this version, v2)] Title: Interrogating the composition and distribution of nuclear magnetization via the hyperfine anomaly: experiment meets nuclear and atomic theory for short-lived $^{47}$K Authors: M. L. Bissell , M. Jankowski , A. Antušek , N. Azaryan , B. C. Backes , M. Baranowski , M. Chojnacki , K. M. Dziubińska-Kühn , 1 R. Han , A. Hurajt , B. Karg , I. Michelon , M. Pesek , M. Piersa-Siłkowska , B. M. Roberts , G. Sanamyan , T. P. Treczoks , L. V. Rodríguez , H. Wibowo , D. Zakoucky , M. Žňava , M. Kortelainen , J. Dobaczewski , J. S. M. Ginges , M. Kowalska View PDF HTML (experimental) Abstract: To date, the magnetic structure of nuclei has been poorly constrained, with limited information on its spatial distribution. In this work, we address the composition and distribution of nuclear magnetization in a precision study of short-lived $^{47}$K. We measure the Larmor frequency with part-per-million precision using liquid-state $\beta$-detected nuclear magnetic resonance at CERN-ISOLDE, improving determination of the experimental differential hyperfine anomaly relative to $^{39}$K by more than an order of magnitude. By combining these experimental results with relativistic all-orders atomic calculations and nuclear density functional theory, we obtain the relative spin and orbital contributions to the nuclear magnetic moments. Our analysis reveals an overestimation of the spin contribution predicted by nuclear theory, that persists even after considering two-body currents. Conversely, we show that the measured hyperfine anomaly is reproduced when adopting the spatial distribution of nuclear magnetization provided by density functional theory. The methodology introduced in this work establishes a means to probe the detailed magnetic structure of the nucleus. This is critical for benchmarking nuclear structure theory and calculations of symmetry-violating nuclear moments relevant to searches for physics beyond the Standard Model in atoms and molecules. Subjects: Nuclear Experiment (nucl-ex) ; Nuclear Theory (nucl-th) Cite as: arXiv:2603.20090 [nucl-ex] (or arXiv:2603.20090v2 [nucl-ex] for this version) https://doi.org/10.48550/arXiv.2603.20090 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Mark Bissell [ view email ] [v1] Fri, 20 Mar 2026 16:13:47 UTC (1,177 KB) [v2] Thu, 27 Aug 2026 10:57:03 UTC (1,614 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: nucl-ex < prev | next > new | recent | 2026-03 Change to browse by: nucl-th References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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