{
  "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 $α$-cluster type. For the latter, triaxial $α$-cluster configurations seem to be favoured over the axially-symmetric ones, whereas oblate superdeformation might characterize a rotational band at $20$ MeV excitation energy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27781",
  "author_total": 4,
  "authors": [
    {
      "name": "Gianluca Stellin"
    },
    {
      "name": "Serdar Elhatisari"
    },
    {
      "name": "Timo A. Lähde"
    },
    {
      "name": "Shihang Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2npmj79y56ms5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27781",
  "fulltext_url": null,
  "id": "2npmj79y56ms5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27781",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7204769341",
  "pdf_url": "https://arxiv.org/pdf/2608.27781",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2npmj79y56ms5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2608.27781",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27781"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Nuclear lattice effective field theory as a testing ground for $α$-cluster structures in ${}^{24}\\mathrm{Mg}$",
  "title_text": "Nuclear lattice effective field theory as a testing ground for α-cluster structures in ^24Mg",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:18Z",
  "url": "https://research.draconitic.com/paper/2npmj79y56ms5",
  "venue": "arXiv",
  "versions": []
}