{
  "annotation_id": "e54ba167-4859-4dce-9a2a-e4a00111e0d4",
  "date_created": "2026-03-02T18:01:17.179000Z",
  "date_modified": "2026-03-02T18:01:17.179000Z",
  "file_hash": "f55bbf0f18cedf397ebc5e18680a0706ac84e7d90cd8b90b3656006333b7603d",
  "private": false,
  "record": {
    "abstract": "The cross sections for single-electron photo-ionisation in two-electron atoms\nshow fluctuations which decrease in amplitude when approaching the\ndouble-ionisation threshold. Based on semiclassical closed orbit theory, we\nshow that the algebraic decay of the fluctuations can be characterised in terms\nof a threshold law $\\sigma \\propto |E|^{\\mu}$ as $E \\to 0_-$ with exponent\n$\\mu$ obtained as a combination of stability exponents of the triple-collision\nsingularity. It differs from Wannier\u0027s exponent dominating double ionisation\nprocesses. The details of the fluctuations are linked to a set of infinitely\nunstable classical orbits starting and ending in the non-regularisable triple\ncollision. The findings are compared with quantum calculations for a model\nsystem, namely collinear helium.",
    "arxiv_id": "physics/0701086",
    "authors": [
      "Chang Woo Byun",
      "Nark Nyul Choi",
      "Min-Ho Lee",
      "Gregor Tanner"
    ],
    "categories": [
      "physics.atom-ph",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevLett.98.113001",
    "journal_ref": "Phys Rev Lett 98, 113001 (2007)",
    "title": "Scaling laws for the photo-ionisation cross section of two-electron   atoms",
    "url": "https://arxiv.org/abs/physics/0701086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "948fd74f-80b3-4353-af0a-246cab48cbcd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}