{
  "id": "1408.2920",
  "version": "v1",
  "published": "2014-08-13T06:03:05.000Z",
  "updated": "2014-08-13T06:03:05.000Z",
  "title": "The container picture with two-alpha correlation for the ground state of $^{12}$C",
  "authors": [
    "Bo Zhou",
    "Yasuro Funaki",
    "Akihiro Tohsaki",
    "Hisashi Horiuchi",
    "Zhongzhou Ren"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "It is shown that the single $0^+$ THSR (Tohsaki-Horiuchi-Schuck-R\\\"{o}pke) wave function which is extended to include 2$\\alpha$ correlation is almost completely equivalent to the 3$\\alpha$ wave function obtained as the full solution of 3$\\alpha$ cluster model. Their squared overlap is as high as 98\\% while it is 93\\% if the 2$\\alpha$ correlation is not included. This result implies that, by incorporating the 2$\\alpha$ correlation in the 3$\\alpha$ model, the ground state of $^{12}$C is describable in the container picture which is valid for the Hoyle state for which the 2$\\alpha$ correlation is weak and a single $0^+$ THSR wave function without 2$\\alpha$ correlation is almost completely equivalent to the full solution of 3$\\alpha$ cluster model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-13T06:03:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "D10",
      "D11",
      "D13"
    ],
    "keywords": [
      "ground state",
      "container picture",
      "two-alpha correlation",
      "cluster model",
      "full solution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1093/ptep/ptu127",
      "journal": "Progress of Theoretical and Experimental Physics",
      "year": 2014,
      "month": "Oct",
      "volume": 2014,
      "number": 10
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1310765,
      "adsabs": "2014PTEP.2014j1D01Z"
    }
  }
}