{
  "id": "2312.00750",
  "version": "v1",
  "published": "2023-12-01T17:47:09.000Z",
  "updated": "2023-12-01T17:47:09.000Z",
  "title": "Shape coexistence and superdeformation in $^{28}$Si",
  "authors": [
    "D. Frycz",
    "J. Menéndez",
    "A. Rios",
    "A. M. Romero"
  ],
  "comment": "6 pages, 4 figures. To be published in XXXVII Mazurian Lakes Conference Proceedings",
  "categories": [
    "nucl-th",
    "nucl-ex"
  ],
  "abstract": "We study the shape coexistence of differently deformed states within $^{28}$Si using shell-model and beyond-mean-field techniques. Experimentally, $^{28}$Si exhibits shape coexistence between an oblate ground state and an excited prolate structure. The oblate rotational band is described well within the $sd$ shell using the USDB interaction. However, for the prolate band, a modification of this interaction is required, lowering the single-particle energy of the $1d_{3/2}$ orbit. Furthermore, we explore the possibility of a superdeformed configuration in $^{28}$Si. Our calculations, spanning both the $sd$ and $pf$ shells, rule out the existence of a superdeformed $0^+$ bandhead within an excitation energy range of 10-20 MeV.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-01T17:47:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shape coexistence",
      "superdeformation",
      "oblate ground state",
      "oblate rotational band",
      "excitation energy range"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}