{
  "id": "1811.01071",
  "version": "v1",
  "published": "2018-11-02T20:08:06.000Z",
  "updated": "2018-11-02T20:08:06.000Z",
  "title": "Magic numbers for shape coexistence",
  "authors": [
    "I. E. Assimakis",
    "D. Bonatsos",
    "A. Martinou",
    "S. Sarantopoulou",
    "S. Peroulis",
    "T. Mertzimekis",
    "N. Minkov"
  ],
  "comment": "9 pages, 4 figures, to appear in HNPS: Advances in Nuclear Physics: Proceedings of the 27th Annual Symposium of the Hellenic Nuclear Physics Society (Athens, 2018), ed. T. Mertzimekis, G. Souliotis, and E. Styliaris",
  "categories": [
    "nucl-th"
  ],
  "abstract": "The increasing deformation in atomic nuclei leads to the change of the classical magic numbers (2,8,20,28,50,82..) which dictate the arrangement of nucleons in complete shells. The magic numbers of the three-dimensional harmonic oscillator (2,8,20,40,70...) emerge at deformations around epsilon=0.6. At lower deformations the two sets of magic numbers antagonize, leading to shape coexistence. A quantitative investigation is performed using the usual Nilsson model wave functions and the recently introduced proxy-SU(3) scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-02T20:08:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shape coexistence",
      "usual nilsson model wave functions",
      "three-dimensional harmonic oscillator",
      "atomic nuclei",
      "lower deformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}