Microscopic Realization of Topologically Quantized Alignment in Fast-Rotating Nuclei

[2608.27941] Microscopic Realization of Topologically Quantized Alignment in Fast-Rotating Nuclei Skip to main content Search Submit Donate Log in Nuclear Theory arXiv:2608.27941 (nucl-th) [Submitted on 28 Aug 2026] Title: Microscopic Realization of Topologically Quantized Alignment in Fast-Rotating Nuclei Authors: Ganlong Ding , Sibo Wang , Hiroyuki Tajima , Daisuke Suzuki , Jing Peng , Haozhao Liang View PDF HTML (experimental) Abstract: We present the first quantitative microscopic realization of topologically quantized alignment in a finite nuclear system. The realization is obtained by exact diagonalization of a cranking seniority model, with the first Chern number evaluated over the sphere of cranking-axis orientations and analyzed together with the orientation-averaged alignment and cranking-frame configuration probabilities. The Chern number changes in integer steps as the system evolves from initially paired configurations to increasingly aligned configurations. A new intermediate phase is found in which the Chern number is already nonzero while the alignment continues to evolve toward its quantized value. We show that this deviation originates from the competition among pairing, axial quadrupole splitting, and Coriolis mixing. Thus, our microscopic approach reveals a more nuanced emergence of topologically quantized alignment in realistic nuclei, providing a quantitative stepping stone toward experimental investigations. Comments: 6 pages,3 figures+6-page supplemental material, 3figures Subjects: Nuclear Theory (nucl-th) ; Nuclear Experiment (nucl-ex) Cite as: arXiv:2608.27941 [nucl-th] (or arXiv:2608.27941v1 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2608.27941 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Sibo Wang [ view email ] [v1] Fri, 28 Aug 2026 05:30:12 UTC (275 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: nucl-th < prev | next > new | recent | 2026-08 Change to browse by: nucl-ex 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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