{
  "annotation_id": "4810ec33-73c4-4ea2-a634-ae82a9d5f5a2",
  "date_created": "2026-03-02T18:00:29.415000Z",
  "date_modified": "2026-03-02T18:00:29.415000Z",
  "file_hash": "6194320b63cad43529b8d128488739af42b3812588e3132df33379abc79cf5a2",
  "private": false,
  "record": {
    "abstract": "Dimensional regularization is applied to the Lippmann-Schwinger equation for\na separable potential which gives rise to logarithmic singularities in the Born\nseries. For this potential a subtraction at a fixed energy can be used to\nrenormalize the amplitude and produce a finite solution to the integral\nequation for all energies. This can be done either algebraically or\nnumerically. In the latter case dimensional regularization can be implemented\nby solving the integral equation in a lower number of dimensions, fixing the\npotential strength, and computing the phase shifts, while taking the limit as\nthe number of dimensions approaches three. We demonstrate that these steps can\nbe carried out in a numerically stable way, and show that the results thereby\nobtained agree with those found when the renormalization is performed\nalgebraically to four significant figures.",
    "arxiv_id": "nucl-th/9910063",
    "authors": [
      "D. R. Phillips",
      "I. R. Afnan",
      "A. G. Henry-Edwards"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.61.044002",
    "journal_ref": "Phys.Rev.C61:044002,2000",
    "title": "Numerical renormalization using dimensional regularization: a simple   test case in the Lippmann-Schwinger equation",
    "url": "https://arxiv.org/abs/nucl-th/9910063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a67a4a3f-b68a-4ddc-9704-0a734dac42e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}