{
  "id": "0910.0829",
  "version": "v1",
  "published": "2009-10-05T19:03:49.000Z",
  "updated": "2009-10-05T19:03:49.000Z",
  "title": "Phase transitions in the $sdg$ interacting boson model",
  "authors": [
    "P. Van Isacker",
    "A. Bouldjedri",
    "S. Zerguine"
  ],
  "comment": "19 pages, 5 figures, submitted to J. Phys. G",
  "categories": [
    "nucl-th"
  ],
  "abstract": "A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\\beta_2$), axial hexadecapole ($\\beta_4$) and triaxial ($\\gamma_2$). The phase-transitional structure is established for a schematic $sdg$ hamiltonian which is intermediate between four dynamical symmetries of U(15), namely the spherical ${\\rm U}(5)\\otimes{\\rm U}(9)$, the (prolate and oblate) deformed ${\\rm SU}_\\pm(3)$ and the $\\gamma_2$-soft SO(15) limits. For realistic choices of the hamiltonian parameters the resulting phase diagram has properties close to what is obtained in the $sd$ version of the model and, in particular, no transition towards a stable triaxial shape is found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-05T19:03:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interacting boson model",
      "phase transitions",
      "geometric analysis",
      "stable triaxial shape",
      "properties close"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.nuclphysa.2010.01.247",
      "journal": "Nuclear Physics A",
      "year": 2010,
      "month": "May",
      "volume": 836,
      "number": 3,
      "pages": 225
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 833033,
      "adsabs": "2010NuPhA.836..225V"
    }
  }
}