{
  "id": "nucl-th/0202079",
  "version": "v1",
  "published": "2002-02-27T02:57:29.000Z",
  "updated": "2002-02-27T02:57:29.000Z",
  "title": "Projection and ground state correlations made simple",
  "authors": [
    "K. Hagino",
    "P. -G. Reinhard",
    "G. F. Bertsch"
  ],
  "comment": "RevTex, 12 pages, 7 eps figures",
  "journal": "Phys.Rev. C65 (2002) 064320",
  "doi": "10.1103/PhysRevC.65.064320",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We develop and test efficient approximations to estimate ground state correlations associated with low- and zero-energy modes. The scheme is an extension of the generator-coordinate-method (GCM) within Gaussian overlap approximation (GOA). We show that GOA fails in non-Cartesian topologies and present a topologically correct generalization of GOA (topGOA). An RPA-like correction is derived as the small amplitude limit of topGOA, called topRPA. Using exactly solvable models, the topGOA and topRPA schemes are compared with conventional approaches (GCM-GOA, RPA, Lipkin-Nogami projection) for rotational-vibrational motion and for particle number projection. The results shows that the new schemes perform very well in all regimes of coupling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-27T02:57:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.10.Dr",
      "21.60.Jz"
    ],
    "keywords": [
      "particle number projection",
      "gaussian overlap approximation",
      "estimate ground state correlations",
      "small amplitude limit",
      "test efficient approximations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 583470
    }
  }
}