{
  "id": "2210.12779",
  "version": "v1",
  "published": "2022-10-23T16:39:20.000Z",
  "updated": "2022-10-23T16:39:20.000Z",
  "title": "Islands of shape coexistence in proxy-SU(3) symmetry and in covariant density functional theory",
  "authors": [
    "Dennis Bonatsos",
    "K. E. Karakatsanis",
    "Andriana Martinou",
    "T. J. Mertzimekis",
    "N. Minkov"
  ],
  "comment": "12 pages, 2 figures, to appear in the Proceedings of the 39th International Workshop on Nuclear Theory (Rila 2022), ed. M. Gaidarov and N. Minkov (Heron Press, Sofia, 2022)",
  "categories": [
    "nucl-th"
  ],
  "abstract": "Shape coexistence in even-even nuclei is observed when the ground state band of a nucleus is accompanied by another K=0 band at similar energy but with radically different structure. We attempt to predict regions of shape coexistence throughout the nuclear chart using the parameter-free proxy-SU(3) symmetry and standard covariant density functional theory. Within the proxy-SU(3) symmetry the interplay of shell model magic numbers, formed by the spin-orbit interaction, and the 3-dimensional isotropic harmonic oscillator magic numbers, leads to the prediction of specific horizontal and vertical stripes on the nuclear chart in which shape coexistence should be possible. Within covariant density functional theory, specific islands on the nuclear chart are found, in which particle-hole excitations leading to shape coexistence are observed. The role played by particle-hole excitations across magic numbers as well as the collapse of magic numbers as deformation sets in is clarified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-23T16:39:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shape coexistence",
      "nuclear chart",
      "standard covariant density functional theory",
      "isotropic harmonic oscillator magic numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}