{
  "abstract": "We propose a Quantization-Constrained Parameter Method (QCPM) for determining the Woods-Saxon (WS) potential depth $V_0$ and diffuseness $a$ in studies of $α$ and cluster decay half-lives. In this approach, the parameters are derived analytically by imposing the Bohr--Sommerfeld (BS) quantization condition, thereby eliminating the need for parameter fitting. The calculated diffuseness values exhibit a strong dependence on nuclear shell structure. The reliability of the QCPM-derived WS potential is validated through optical model analyses of elastic $α$ scattering data. The resulting $α$ and cluster decay half-lives show good agreement with experimental values. Our results highlight the significant role of daughter-nucleus deformation in improving the consistency between theoretical predictions and experimental data. In addition, we introduce a modified Woods--Saxon (mWS) potential that effectively approximates the surface behavior of folding potentials incorporating the nuclear medium effect. This modification leads to closer agreement with the measured half-lives. Free of adjustable parameters such as $V_0$ and $a$, the QCPM enhances the predictive power of phenomenological potentials for $α$ and cluster decay studies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Physical Review C 113 (2026) 044608",
  "arxiv": "2609.30843",
  "author_total": 4,
  "authors": [
    {
      "name": "Nguyen Thi Huyen Nga"
    },
    {
      "name": "Le Hoang Chien"
    },
    {
      "name": "Nguyen Tri Toan Phuc"
    },
    {
      "name": "Chau Van Tao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qyc42xxr5n5k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30843",
  "fulltext_url": null,
  "id": "1qyc42xxr5n5k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30843",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.30843",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qyc42xxr5n5k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.30843",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30843"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "A Quantization-Constrained Parameter Method for Studying $α$ and Cluster Decay",
  "title_text": "A Quantization-Constrained Parameter Method for Studying α and Cluster Decay",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/1qyc42xxr5n5k",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/tznl-jfx3",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}