{
  "annotation_id": "3bf45c01-2f73-40d4-89ee-0dce66e18ac0",
  "date_created": "2026-03-02T18:01:55.797000Z",
  "date_modified": "2026-03-02T18:01:55.797000Z",
  "file_hash": "6f719c6253bf05de28240595e7d3e3c07d83529cdd2ce06e4d6fd8891258448f",
  "private": false,
  "record": {
    "abstract": "Shannon\u0027s information entropies in position- and momentum- space and their\nsum $S$ are calculated for various $s$-$p$ and $s$-$d$ shell nuclei using a\ncorrelated one-body density matrix depending on the harmonic oscillator size\n$b_0$ and the short range correlation parameter $y$ which originates from a\nJastrow correlation function. It is found that the information entropy sum for\na nucleus depends only on the correlation parameter $y$ through the simple\nrelation $S= s_{0A} + s_{1A} y^{-\\lambda_{sA}}$, where $s_{0A}$, $s_{1A}$ and\n$\\lambda_{sA}$ depend on the mass number $A$. A similar approximate expression\nis also valid for the root mean square radius of the nucleus as function of $y$\nleading to an approximate expression which connects $S$ with the root mean\nsquare radius. Finally, we propose a method to determine the correlation\nparameter from the above property of $S$ as well as the linear dependence of\n$S$ on the logarithm of the number of nucleons.",
    "arxiv_id": "quant-ph/0212013",
    "authors": [
      "S. E. Massen"
    ],
    "categories": [
      "quant-ph",
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.67.014314",
    "journal_ref": "Phys.Rev. C67 (2003) 014314",
    "title": "Application of information entropy to nuclei",
    "url": "https://arxiv.org/abs/quant-ph/0212013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e4287654-2b28-4a9f-b2bf-956c420af041",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}