{
  "annotation_id": "2152d5d6-afe1-49cf-98b6-f5e13a816ed8",
  "date_created": "2026-03-02T18:01:11.462000Z",
  "date_modified": "2026-03-02T18:01:11.462000Z",
  "file_hash": "446110a2ae1172c9b9f262e97f788cae427b48e87036d82e2c5ab4b0a0d3f76a",
  "private": false,
  "record": {
    "abstract": "A version of the $J$-matrix method for solving numerically the three-body\nFaddeev-Merkuriev differential equations is proposed. This version allows to\ntake into account the full spectrum of the two-body Coulomb subsystem. As a\nresult, a discrete analog of the Lippmann-Schwinger equation is obtained which\nallows to interpret correctly the three-body wave function in two-body domains.\nThe scheme is applied to calculations of the fully resolved absolute\ndifferential cross sections for the He$(e,2e)$He$^+$ and He$(e,3e)$He$^{++}$\nreactions at small energy and momentum transfers. The results are in good\nagreement with the experiment both in shape and in absolute value.",
    "arxiv_id": "physics/0608042",
    "authors": [
      "S. A. Zaytsev",
      "V. A. Knyr",
      "Yu. V. Popov",
      "A. Lahmam-Bennani"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.75.022718",
    "title": "Application of the $J$-matrix Method to Faddeev-Merkuriev equation:   beyond pseudostates",
    "url": "https://arxiv.org/abs/physics/0608042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5efe2a9a-010d-4d11-beb0-8dd755492cc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}