{
  "annotation_id": "c6dfe229-7c15-4a9a-bcb3-89d81989483b",
  "date_created": "2026-03-02T18:00:56.754000Z",
  "date_modified": "2026-03-02T18:00:56.754000Z",
  "file_hash": "7ae7bba7c624cd3a8f08fb7881632863214787c7f2bde7048120e7aabadb1c33",
  "private": false,
  "record": {
    "abstract": "An application of the new formulation of the eigenchannel method [R.\nSzmytkowski, Ann. Phys. (N.Y.) {\\bf 311}, 503 (2004)] to quantum scattering of\nDirac particles from non-local separable potentials is presented. Eigenchannel\nvectors, related directly to eigenchannels, are defined as eigenvectors of a\ncertain weighted eigenvalue problem. Moreover, negative cotangents of\neigenphase-shifts are introduced as eigenvalues of that spectral problem.\nEigenchannel spinor as well as bispinor harmonics are expressed throughout the\neigenchannel vectors. Finally, the expressions for the bispinor as well as\nmatrix scattering amplitudes and total cross section are derived in terms of\neigenchannels and eigenphase-shifts. An illustrative example is also provided.",
    "arxiv_id": "physics/0503196",
    "authors": [
      "Remigiusz Augusiak"
    ],
    "categories": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevC.75.064002",
    "journal_ref": "Physical Review C 75, 064002 (2007)",
    "title": "Scattering of Dirac particles from non-local separable potentials: the   eigenchannel approach",
    "url": "https://arxiv.org/abs/physics/0503196"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77121523-d7c6-4529-a266-c382ae0bd06d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}