{
  "annotation_id": "ab44ab06-24e1-4c29-a2f8-704bfa322b2a",
  "date_created": "2026-03-02T18:00:08.026000Z",
  "date_modified": "2026-03-02T18:00:08.026000Z",
  "file_hash": "9419fd8260c8c351ee398398a5c0765ccf37c7e95f7dac09ea2b9df0dfb6f343",
  "private": false,
  "record": {
    "abstract": "A method is presented for the calculation of the one-body and two-body\ndensity matrices and their Fourier transforms in momentum space, that is\nconsistent with the requirement for translational invariance, in the case of a\nnucleus (a finite self-bound system). We restore translational invariance by\nusing the so-called fixed center-of-mass approximation for constructing an\nintrinsic nuclear ground state wavefunction by starting from a\nnon-translationally invariant wavefunction and applying a projection\nprescription. We discuss results for the one-body and two-body momentum\ndistributions of the 4He nucleus calculated with the Slater determinant of the\nharmonic oscillator orbitals, as the initial non-translationally invariant\nwavefunction. Effects of such an inclusion of CM correlations are found to be\nquite important in the momentum distributions.",
    "arxiv_id": "nucl-th/0512054",
    "authors": [
      "A. Shebeko",
      "P. Papakonstantinou",
      "E. Mavrommatis"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1063/1.2200903",
    "journal_ref": "AIP Conf. Proc. 831 (2006) 75",
    "title": "The One-Body and Two-Body Density Matrices of Finite Nuclei and   Center-of-Mass Correlations",
    "url": "https://arxiv.org/abs/nucl-th/0512054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ef46a71-a0e2-4cac-b515-1a8bb29e20bb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}