{
  "id": "hep-th/9708032",
  "version": "v1",
  "published": "1997-08-06T15:45:27.000Z",
  "updated": "1997-08-06T15:45:27.000Z",
  "title": "Application of Renormalization to Potential Scattering",
  "authors": [
    "C. F. de Araujo, Jr.",
    "L. Tomio",
    "S. K. Adhikari",
    "T. Frederico"
  ],
  "comment": "15 pages plus 5 figures",
  "journal": "J.Phys.A30:4687-4700,1997",
  "doi": "10.1088/0305-4470/30/13/020",
  "categories": [
    "hep-th"
  ],
  "abstract": "A recently proposed renormalization scheme can be used to deal with nonrelativistic potential scattering exhibiting ultraviolet divergence in momentum space. A numerical application of this scheme is made in the case of potential scattering with $r^{-2}$ divergence for small r, common in molecular and nuclear physics, by the use of cut-offs in momentum and configuration spaces. The cut-off is finally removed in terms of a physical observable and model-independent result is obtained at low energies. The expected variation of the off-shell behavior of the t matrix arising from the renormalization scheme is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-08-06T15:45:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "application",
      "renormalization scheme",
      "nonrelativistic potential scattering exhibiting ultraviolet",
      "potential scattering exhibiting ultraviolet divergence",
      "momentum space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 442032
    }
  }
}