{
  "annotation_id": "142917c0-c06e-4589-a187-2dca033997cf",
  "date_created": "2026-03-02T18:00:18.473000Z",
  "date_modified": "2026-03-02T18:00:18.473000Z",
  "file_hash": "56425a4827f4057dc7e665ad884a8d2ae9fc7271cbcce99c50b5e47007fea88b",
  "private": false,
  "record": {
    "abstract": "We discuss a number of constraints on the effects of zero-range potentials in\nquantum mechanics. We show that for such a potential $p \\cot(\\delta)$, where\n$p$ is the momentum of the nucleon in the center of mass frame and $\\delta$ is\nthe S-wave phase shift, must be a monotonically decreasing function of energy.\nThis implies that the effective range of the potential is non-positive. We also\nexamine scattering from the sum of two potentials, one of which is a\nshort-range interaction. We find that if the short-range interaction is of\nzero-range then it must be attractive, and the logarithmic derivative of the\nradial wave function at the origin must be a monotonically decreasing function\nof energy. If the short-range interaction is not of zero range then a\nconstraint which gives the minimum possible range for it to fit the phase\nshifts exists. The implications of these results for effective field theory\ntreatments of nucleon-nucleon interactions are discussed.",
    "arxiv_id": "nucl-th/9607048",
    "authors": [
      "Daniel R. Phillips",
      "Thomas D. Cohen"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/S0370-2693(96)01411-6",
    "journal_ref": "Phys.Lett. B390 (1997) 7-12",
    "title": "How short is too short? Constraining zero-range interactions in   nucleon-nucleon scattering",
    "url": "https://arxiv.org/abs/nucl-th/9607048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4df0014c-ce9a-4b85-beaa-812787c24c50",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}