{
  "abstract": "Recently, Sobhani and Luo \\cite{sobhani2025unified} proposed a new empirical formula for $α$ decay based on the $Q_α^{-1/4}$ energy dependence, incorporating the proton number $Z$, neutron number $N$, and relative neutron excess $I = (N - Z)/(N + Z)$ as primary parameters. In this work, we extend this model by explicitly including the angular momentum of the emitted $α$ particle and the quadrupole deformation of the daughter nucleus. Using this improved formula to evaluate the $α$-decay half-lives of 400 nuclei yields a root-mean-square (RMS) deviation of 0.97 relative to experimental data. Furthermore, we employ support vector regression (SVR)-taking $Q_α^{-1/4}$, $N$, $Z$, angular momentum, and daughter-nucleus deformation as input features-which further reduces the RMS deviation to 0.56. Finally, we apply both the extended formula and the SVR model to predict the $α$-decay half-lives of even-even nuclei with $Z = 120$ and $Z = 122$. The predicted half-lives show good consistency with those from the Sobhani and Poenaru formulas, and both approaches strongly support $N = 184$ as the next neutron magic number.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03902",
  "author_total": 2,
  "authors": [
    {
      "name": "Jinyu Hu"
    },
    {
      "name": "Chen Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/461d2den6r01f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03902",
  "fulltext_url": null,
  "id": "461d2den6r01f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03902",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nucl-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.03902",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/461d2den6r01f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03902",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03902"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "\\texorpdfstring{$α$}{}-decay for superheavy nucleus: The alpha decay energy to the one-fourth power",
  "title_text": "\\texorpdfstring{α}{}-decay for superheavy nucleus: The alpha decay energy to the one-fourth power",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/461d2den6r01f",
  "venue": "arXiv",
  "versions": []
}