{
  "abstract": "The accurate calculation of $α$-decay widths can be obtained with several equivalent descriptions of the Gurvitz-Kalbermann two-potential approach (TPA) or a semiclassical WKB description having both correct barrier penetrability and consistent inner-state normalization prefactor. This prefactor, which is related to the assault frequency, is implemented in several ways in the literature, producing systematically different results that can be mistaken for $α$ preformation effects. We benchmark single-particle $α$-decay widths across 161 even-even nuclei ($A_p=144$--$252$) using several TPA descriptions and WKB calculations with four common prefactors, employing a Woods-Saxon potential fixed by the quantization-constrained parameter method. The TPA formulas agree to within a few parts in $10^{-8}$, highlighting their robustness. Among semiclassical prefactors, only the widely used round-trip (RT) approximation closely reproduces the TPA widths to within a few percent. An Airy-function analysis reveals this $\\cos^2\\to 1/2$ averaged WKB prefactor is the correct leading-order semiclassical normalization of the exact quasibound state, clarifying the counterintuitive empirical observations associated with the WKB prefactors. Our benchmark identifies the WKB prefactor appropriate for $α$-decay tunneling analysis and provides a clean reference for isolating preformation and structure effects in future studies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00131",
  "author_total": 5,
  "authors": [
    {
      "name": "Nguyen Thi Huyen Nga"
    },
    {
      "name": "Le Quoc Thai"
    },
    {
      "name": "Chau Van Tao"
    },
    {
      "name": "Le Hoang Chien"
    },
    {
      "name": "Nguyen Tri Toan Phuc"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1z2naeqtqevsz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00131",
  "fulltext_url": null,
  "id": "1z2naeqtqevsz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00131",
  "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-ex"
    ],
    [
      "arxiv",
      "nucl-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00131",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1z2naeqtqevsz.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00131",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00131"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-ex",
      "subfield": "nuclear"
    }
  ],
  "title": "$α$-decay widths from two-potential approaches and WKB prefactors",
  "title_text": "α-decay widths from two-potential approaches and WKB prefactors",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/1z2naeqtqevsz",
  "venue": "arXiv",
  "versions": []
}