{
  "id": "2308.13233",
  "version": "v1",
  "published": "2023-08-25T08:05:32.000Z",
  "updated": "2023-08-25T08:05:32.000Z",
  "title": "An extension of the generator coordinate method with basis optimization",
  "authors": [
    "Moemi Matsumoto",
    "Yusuke Tanimura",
    "Kouichi Hagino"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "The generator coordinate method (GCM) has been a well-known method to describe nuclear collective motions. In this method, one specifies {\\it a priori} the relevant collective degrees of freedom as input of the method, based on empirical and/or phenomenological assumptions. We here propose a new extension of the GCM, in which both the basis Slater determinants and weight factors are optimized according to the variational principle. Applying this method to $^{16}$O and $^{28}$Si nuclei with the Skyrme functional, we demonstrate that the optimized bases correspond to excited states along a collective path, unlike the conventional GCM which superposes only the local ground states. This implies that a collective coordinate for large amplitude collective motions is determined in a much more complex way than what has been assumed so far.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-25T08:05:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generator coordinate method",
      "basis optimization",
      "large amplitude collective motions",
      "local ground states",
      "basis slater determinants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}