{
  "annotation_id": "6326a4ba-4c65-48f5-aae9-d95d627dc596",
  "date_created": "2026-03-02T18:00:25.218000Z",
  "date_modified": "2026-03-02T18:00:25.218000Z",
  "file_hash": "eb768e5459095d1840d25b1cdf0757e13be92b359aec7ad5ab8077c51e2bcc63",
  "private": false,
  "record": {
    "abstract": "We consider particle-antiparticle bound states in the scalar Yukawa\n(Wick-Cutkosky) model. The variational method in the Hamiltonian formalism of\nquantum field theory is employed. A reformulation of the model is studied, in\nwhich covariant Green\u0027s functions are used to solve for the mediating field in\nterms of the particle fields. A simple Fock-state variational ansatz is used to\nderive a relativistic equation for the particle-antiparticle states. This\nequation contains one-quantum-exchange and virtual-annihilation interactions.\n  It is shown that analytic solutions of this equation can be obtained for the\nsimplified case where only the virtual annihilation interaction is retained.\nMore generally, numerical and perturbative solutions of the equation are\nobtained for the massive and massless-exchange cases. We compare our results\nwith various Bethe-Salpeter-based calculations.",
    "arxiv_id": "nucl-th/9908022",
    "authors": [
      "Bingfeng Ding",
      "Jurij Darewych"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1088/0954-3899/26/6/312",
    "journal_ref": "J.Phys.G26:907-926,2000",
    "title": "A variational calculation of particle-antiparticle bound states in the   scalar Yukawa model",
    "url": "https://arxiv.org/abs/nucl-th/9908022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40671754-d174-471f-a2ab-b742f0cc9fb4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}