{
  "annotation_id": "1bce4e35-d6aa-45aa-8451-baac8427cec0",
  "date_created": "2026-03-02T18:00:14.712000Z",
  "date_modified": "2026-03-02T18:00:14.712000Z",
  "file_hash": "e9eaacc73ea9ce67a42db8a4192d4db8e57260c36defb1320b108473b66aa9a7",
  "private": false,
  "record": {
    "abstract": "We extend the polaron variational treatment previously developed for the\npropagator to the case where one nucleon and $n$ external mesons are present.\nUsing the particle representation of the scalar Wick-Cutkosky model this is\ndone in lowest order of an expansion of the exact action around a retarded\nquadratic trial action. In particular, we evaluate the form factor for\nscattering of mesons from the scalar nucleon and determine the radius of the\ndressed particle. After analytic continuation to Minkowski space we study\nelastic meson-nucleon scattering both analytically and numerically near\nthreshold and show that it is essential to incorporate the correct behaviour of\nthe retardation function at large proper times. Only if this is done the\noptical theorem is approximately fulfilled over a range of energies and\ncoupling constants.",
    "arxiv_id": "nucl-th/9504023",
    "authors": [
      "A. W. Schreiber",
      "R. Rosenfelder",
      "C. Alexandrou"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1142/S0218301396000384",
    "journal_ref": "Int.J.Mod.Phys.E5:681-716,1996",
    "title": "Variational Calculation of Relativistic Meson-Nucleon Scattering In   Zeroth Order",
    "url": "https://arxiv.org/abs/nucl-th/9504023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ec644b7-afb3-46df-bc63-0363a10d2888",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}