{
  "id": "2311.15305",
  "version": "v1",
  "published": "2023-11-26T14:12:59.000Z",
  "updated": "2023-11-26T14:12:59.000Z",
  "title": "Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei",
  "authors": [
    "E. F. Zhou",
    "X. Y. Wu",
    "J. M. Yao"
  ],
  "comment": "23 pages with 31 figures and 3 tables",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We extend multireference covariant density-functional theory (MR-CDFT) based on a relativistic point-coupling energy functional to describe the low-lying states of odd-mass nuclei. The nuclear wave function is constructed as a superposition of quadrupole-octupole deformed mean-field configurations, with projection onto angular momentum, particle numbers, and parity within the framework of the generator coordinate method. Using $^{25}$Mg as an example, we calculate the energy spectrum, electric multipole, and magnetic dipole transition strengths based on three different schemes for the mean-field configurations of odd-mass nuclei. We find that the low-energy structure of $^{25}$Mg is reasonably reproduced in all three schemes. In particular, the effect of octupole correlation is illustrated in the application to the low-lying parity doublets of $^{21}$Ne. This work demonstrates the success of the MR-CDFT for the low-lying states of odd-mass nuclei with possible strong quadruple-octupole correlations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-26T14:12:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "odd-mass nuclei",
      "low-lying states",
      "extend multireference covariant density-functional theory",
      "magnetic dipole transition strengths",
      "quadrupole-octupole deformed mean-field configurations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}