Nuclear lattice effective field theory as a testing ground for $α$-cluster structures in ${}^{24}\mathrm{Mg}$

[2608.27781] Nuclear lattice effective field theory as a testing ground for $α$-cluster structures in ${}^{24}\mathrm{Mg}$ Skip to main content Search Submit Donate Log in Nuclear Theory arXiv:2608.27781 (nucl-th) [Submitted on 27 Aug 2026 ( v1 ), last revised 20 Oct 2026 (this version, v2)] Title: Nuclear lattice effective field theory as a testing ground for $α$-cluster structures in ${}^{24}\mathrm{Mg}$ Authors: Gianluca Stellin , Serdar Elhatisari , Timo A. Lähde , Shihang Shen View PDF HTML (experimental) Abstract: The framework of nuclear lattice effective field theory (NLEFT) is applied to $^{24}\mathrm{Mg}$, with the perspective of obtaining a model-independent density map of the geometry of a sample of excited states of the nucleus. The Hamiltonian incorporates Wigner SU(4)-symmetric nuclear forces as well as the Coulomb interaction. The coupling constants of the spin-isospin symmetric nucleon-nucleon potentials have been adjusted in order to reproduce the experimental ground-state (g.s.) energy of $^{24}\mathrm{Mg}$ as well as the experimental Tjon ratio between the binding energies of $^3\mathrm{H}$ and $^4\mathrm{He}$. The ensuing parameter set turns out to be capable of capturing the experimental trend of the binding energy per nucleon, reproducing simultaneously within 1% deviation the measured values for $^{18}\mathrm{F}$, $^{22}\mathrm{Na}$, $^{26}\mathrm{Al}$, $^{28}\mathrm{Si}$, $^{30}\mathrm{P}$ and $^{32}\mathrm{S}$. Considerations based on the convergence rate of Euclidean-time extrapolations for the two lowest energy eigenvalues highlight the dual nature of the $0_1^+$ and $2_1^+$ states, of hybrid mean-field and $\alpha$-cluster type. For the latter, triaxial $\alpha$-cluster configurations seem to be favoured over the axially-symmetric ones, whereas oblate superdeformation might characterize a rotational band at $20$ MeV excitation energy. Comments: 11 pages, 1 table, 2 figures, proceedings of the CLUSTER'26 Conference, 8-12 June 2026, Institute of Physics (Islington, London, UK) Subjects: Nuclear Theory (nucl-th) Cite as: arXiv:2608.27781 [nucl-th] (or arXiv:2608.27781v2 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2608.27781 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Gianluca Stellin [ view email ] [v1] Thu, 27 Aug 2026 23:26:05 UTC (416 KB) [v2] Tue, 20 Oct 2026 23:48:08 UTC (426 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 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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