{
  "id": "2211.14135",
  "version": "v1",
  "published": "2022-11-25T14:21:11.000Z",
  "updated": "2022-11-25T14:21:11.000Z",
  "title": "Microscopic description of $α$, $2α$, and cluster decays of $^{216,218}$Rn and $^{220-224}$Ra",
  "authors": [
    "J. Zhao",
    "J. -P. Ebran",
    "L. Heitz",
    "E. Khan",
    "F. Mercier",
    "T. Niksic",
    "D. Vretenar"
  ],
  "comment": "9 pages, 13 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "Alpha and cluster decays are analyzed for heavy nuclei located above $^{208}$Pb on the chart of nuclides: $^{216,218}$Rn and $^{220-224}$Ra, that are also candidates for observing the $2 \\alpha$ decay mode. A microscopic theoretical approach based on relativistic Energy Density Functionals (EDF), is used to compute axially-symmetric deformation energy surfaces as functions of quadrupole, octupole and hexadecupole collective coordinates. Dynamical least-action paths for specific decay modes are calculated on the corresponding potential energy surfaces. The effective collective inertia is determined using the perturbative cranking approximation, and zero-point and rotational energy corrections are included in the model. The predicted half-lives for $\\alpha$-decay are within one order of magnitude of the experimental values. In the case of single $\\alpha$ emission, the nuclei considered in the present study exhibit least-action paths that differ significantly up to the scission point. The differences in alpha-decay lifetimes are not only driven by Q values, but also by variances of the least-action paths prior to scission. In contrast, the $2 \\alpha$ decay mode presents very similar paths from equilibrium to scission, and the differences in lifetimes are mainly driven by the corresponding Q values. The predicted $^{14}$C cluster decay half-lives are within three orders of magnitudes of the empirical values, and point to a much more complex pattern compared to the alpha-decay mode.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-25T14:21:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microscopic description",
      "relativistic energy density functionals",
      "axially-symmetric deformation energy surfaces",
      "cluster decay half-lives",
      "rotational energy corrections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}