{
  "annotation_id": "5808292b-9634-4b53-9ee3-b45383805398",
  "date_created": "2026-03-02T18:00:21.915000Z",
  "date_modified": "2026-03-02T18:00:21.915000Z",
  "file_hash": "1346d0fa5878d32572f82d256859449d0a1e678b178d418afe1a361da03f85d1",
  "private": false,
  "record": {
    "abstract": "A new method for elimination of the \u0027spurious\u0027 states comprising reguirement\nof translational invariance and simplicity of the enumeration scheme of\nantisymmetric A-particle states has been developed. The method presented\nenables one to project off the space of purely spurious antisymmetric\nA-particle oscillator functions with singled out dependence on intrinsic\ncoordinates of two last particles onto the subspace of the nonspurious motion.\nThe method is based on constructing the matrix elements of the centre-ofmass\nHamiltonian and spectral decomposition of the corresponding real symmetric\nmatrix. The obtained coefficients of the expansion of the antisymmetric\nA-particle oscillator functions in terms of the ones with singled out\ndependence on intrinsic coordinates of two last particles and with eliminated\nspurious states are required for calculation of two-particle oscillator\nintrinsic density matrices. Software tools based on root rational fraction\nexpression of numbers for the theoretical formulation presented have been\ndeveloped.",
    "arxiv_id": "nucl-th/9808055",
    "authors": [
      "A. Deveikis",
      "G. Kamuntavicius"
    ],
    "categories": [
      "nucl-th"
    ],
    "journal_ref": "Lith.Phys.J. 37 (1997) 371-383",
    "title": "Elimination of Spurious States of Oscillator Shell Model",
    "url": "https://arxiv.org/abs/nucl-th/9808055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67661cd9-d63e-4751-a53a-c401e1f7c40e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}