{
  "id": "hep-ph/0407258",
  "version": "v2",
  "published": "2004-07-21T20:27:09.000Z",
  "updated": "2005-07-03T09:40:39.000Z",
  "title": "Bound States and Critical Behavior of the Yukawa Potential",
  "authors": [
    "Xiang-Qian Luo",
    "Yong-Yao Li",
    "Helmut Kroger"
  ],
  "comment": "15 pages, 12 figures, 5 tables. Version to appear in Sciences in China G",
  "journal": "Sci.China G35 (2005) 631-642",
  "doi": "10.1007/s11433-004-0020-5",
  "categories": [
    "hep-ph",
    "quant-ph"
  ],
  "abstract": "We investigate the bound states of the Yukawa potential $V(r)=-\\lambda \\exp(-\\alpha r)/ r$, using different algorithms: solving the Schr\\\"odinger equation numerically and our Monte Carlo Hamiltonian approach. There is a critical $\\alpha=\\alpha_C$, above which no bound state exists. We study the relation between $\\alpha_C$ and $\\lambda$ for various angular momentum quantum number $l$, and find in atomic units, $\\alpha_{C}(l)= \\lambda [A_{1} \\exp(-l/ B_{1})+ A_{2} \\exp(-l/ B_{2})]$, with $A_1=1.020(18)$, $B_1=0.443(14)$, $A_2=0.170(17)$, and $B_2=2.490(180)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-07-03T09:40:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound state",
      "yukawa potential",
      "critical behavior",
      "monte carlo hamiltonian approach",
      "angular momentum quantum number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 655012
    }
  }
}