{
  "id": "2311.06975",
  "version": "v1",
  "published": "2023-11-12T22:27:58.000Z",
  "updated": "2023-11-12T22:27:58.000Z",
  "title": "A QFT scalar toy model analogous to positronium and pion decays",
  "authors": [
    "Milena Piotrowska",
    "Francesco Giacosa"
  ],
  "comment": "6 pages, 4 figures, 2 tables, Prepared for the proceedings of the 18th Symposium on new trends in Nuclear and Medical Physics, Cracow, Poland, 18-20 October 2023",
  "categories": [
    "hep-ph"
  ],
  "abstract": "In the framework of a scalar QFT, we evaluate the decay of an initial massive state into two massless particles through a triangle-shaped diagram in which virtual fields propagate. Under certain conditions, the decaying state can be seen as a bound state, thus it is analogous to the neutral pion (quark-antiquark pair) and to the positronium (electron-positron pair), which decay into two photons. While the pion is a relativistic composite object, the positronium is a non-relativistic compound close to threshold. We exam similarities and differences between these two types of bound states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-12T22:27:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "qft scalar toy model analogous",
      "pion decays",
      "positronium",
      "bound state",
      "virtual fields propagate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}