{
  "annotation_id": "f1b6fd46-b30a-40c6-8372-07de1018fbf4",
  "date_created": "2026-03-02T18:01:25.136000Z",
  "date_modified": "2026-03-02T18:01:25.136000Z",
  "file_hash": "e871fbc316732973530e1013869249f1d61e1d7eef38c09737dbd97dd77881ed",
  "private": false,
  "record": {
    "abstract": "Crater has shown that, for two particles (with masses $m_1$ and $m_2$) in a\nCoulombic bound state, the charge distribution is equal to the sum of the two\ncharge distributions obtained by taking $m_1\\to\\infty$ and $m_2\\to\\infty$\nrespectively, while keeping the same Coulombic potential. We provide a simple\nscaling criterion to determine whether an arbitrary Hamiltonian possesses this\nproperty. In particular we show that, for a Coulombic system, fine structure\ncorrections preserve this Crater property while two-particle relativistic\ncorrections and/or hyperfine corrections may destroy it.",
    "arxiv_id": "physics/9910038",
    "authors": [
      "Chi-Keung Chow"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.atom-ph",
      "physics.chem-ph",
      "physics.ed-ph"
    ],
    "doi": "10.1119/1.19482",
    "journal_ref": "Am.J.Phys. 68 (2000) 546",
    "title": "Crater Property in Two-Particle Bound States: When and Why",
    "url": "https://arxiv.org/abs/physics/9910038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "264ed9df-264b-4e55-a6c2-0e4bbb746947",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}