{
  "annotation_id": "07b551c6-7bd5-40eb-96a8-1a96784253bc",
  "date_created": "2026-03-02T18:02:48.303000Z",
  "date_modified": "2026-03-02T18:02:48.303000Z",
  "file_hash": "07b1e8a7c3b271cd0a23cd574382d49330e39d8d093749ad38ada86a977b548c",
  "private": false,
  "record": {
    "abstract": "The scattering cross section associated with a two dimensional delta function\nhas recently been the object of considerable study. It is shown here that this\nproblem can be put into a field theoretical framework by the construction of an\nappropriate Galilean covariant theory. The Lee model with a standard Yukawa\ninteraction is shown to provide such a realization. The usual results for delta\nfunction scattering are then obtained in the case that a stable particle exists\nin the scattering channel provided that a certain limit is taken in the\nrelevant parameter space. In the more general case in which no such limit is\ntaken finite corrections to the cross section are obtained which (unlike the\npure delta function case) depend on the coupling constant of the model.",
    "arxiv_id": "quant-ph/9908027",
    "authors": [
      "C. R. Hagen"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevA.61.032715",
    "title": "Galilean Lee Model of the Delta Function Potential",
    "url": "https://arxiv.org/abs/quant-ph/9908027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d3b38c0e-93c9-4caf-91de-754bdd8bd9ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}