{
  "abstract": "Symmetry-based models, such as the pseudo-SU(3) scheme, have proved to be highly useful tools for describing the low-energy structure of nuclei in the rare-earth region. This model is employed to study the evolution of the collective deformation variables beta and gamma in the ground state (0+) along the isotopic chain 164-188Hf. The truncation is carried out by considering the irreducible representations (irreps) with high spatial symmetry and pseudo-spin 0 and 1, so that both the most and less symmetric relevant irreps are included, the latter being of particular importance for the description of low-energy properties, especially the shape transition. The Hamiltonian includes spherical Nilsson single-particle energies, the quadrupole-quadrupole interaction, and pairing correlations. It is parameterised in a systematic manner, so that the description is obtained without free parameters. In agreement with experimental data, the maximum deformation beta occurs at N = 100, although the model predicts values that are about 20% smaller. As in other theoretical studies, a prolate deformation (gamma = 8o) is predicted for almost all nuclei in the shell, with a clear transition towards triaxial shapes for N > 110. An analysis of the effects of the pairing and Nilsson terms on the values of $β$ and gamma indicates that it is the latter that determine the prolate-oblate transition, with the pairing term playing only a marginal role. The absence of nucleons in the intruder sector is the most significant limitation of the model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Eur. Phys. J. A (2026) 62:142",
  "arxiv": "2610.28509",
  "author_total": 1,
  "authors": [
    {
      "name": "Carlos E. Vargas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ewy3wq6vb5fvv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28509",
  "fulltext_url": null,
  "id": "ewy3wq6vb5fvv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28509",
  "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/2610.28509",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ewy3wq6vb5fvv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.28509",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28509"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-ex",
      "subfield": "nuclear"
    }
  ],
  "title": "Shell-model description of collective deformation variables $β$ and $γ$ in $^{164-188}$Hf nuclei",
  "title_text": "Shell-model description of collective deformation variables β and γ in ^164−188Hf nuclei",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/ewy3wq6vb5fvv",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1140/epja/s10050-026-01913-5",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}