{
  "annotation_id": "3784491d-7284-45c3-9004-6ba37a2aae75",
  "date_created": "2026-03-02T18:00:01.481000Z",
  "date_modified": "2026-03-02T18:00:01.481000Z",
  "file_hash": "c118f97a009fba4beb67fb91e24c184666a9ac00ea62e500a392c8e964daaf42",
  "private": false,
  "record": {
    "abstract": "Davidson potentials of the form $\\beta^2 +\\beta_0^4/\\beta^2$, when used in\nthe E(5) framework, bridge the U(5) and O(6) symmetries, while they bridge the\nU(5) and SU(3) symmetries when used in the X(5) framework. Using a variational\nprocedure, we determine for each value of angular momentum $L$ thevalue of\n$\\beta_0$ at which the rate of change of various physical quantities (energy\nratios, intraband B(E2) ratios, quadrupole moment ratios) has a maximum, the\ncollection of the values of the physical quantity formed in this way being a\ncandidate for describing its behavior at the relevant critical point. Energy\nratios lead to the E(5) and X(5) results (whice correspond to an infinite well\npotential in $\\beta$), while intraband B(E2) ratios and quadrupole moments lead\nto the E(5)-$\\beta^4$ and X(5)-$\\beta^4$ results, which correspond to the use\nof a $\\beta^4$ potential in the relevant framework. A new derivation of the\nHolmberg-Lipas formula for nuclear energy spectra is obtained as a by-product.",
    "arxiv_id": "nucl-th/0402088",
    "authors": [
      "Dennis Bonatsos",
      "D. Lenis",
      "N. Minkov",
      "D. Petrellis",
      "P. P. Raychev",
      "P. A. Terziev"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.70.024305",
    "journal_ref": "Phys.Rev. C70 (2004) 024305",
    "title": "E(5) and X(5) critical point symmetries obtained from Davidson   potentials through a variational procedure",
    "url": "https://arxiv.org/abs/nucl-th/0402088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ef09d1ab-1273-4353-8afc-e00ff48c0c14",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}