{
  "id": "1505.05379",
  "version": "v1",
  "published": "2015-05-20T13:42:23.000Z",
  "updated": "2015-05-20T13:42:23.000Z",
  "title": "The $Z_c(3900)$ as a resonance from the $D\\bar{D}^*$ interaction",
  "authors": [
    "Jun He"
  ],
  "comment": "7 pages, 3 figures",
  "categories": [
    "hep-ph",
    "hep-ex",
    "hep-lat",
    "nucl-th"
  ],
  "abstract": "In this paper it is proposed that the charged charmonium-like state $Z_c(3900)$ is a resonance near threshold from the $D\\bar{D}^*$ interaction. The $D\\bar{D}^*$ interaction is studied in one-bosn-exchange model with light meson exchanges plus a short-range $J/\\psi$ exchange. The scattering amplitude is calculated within a Bethe-Saltpeter equation approach and the poles near the $D\\bar{D}^*$ threshold are searched. In isoscalar sector, two poles found under the $D\\bar{D}^*$ threshold, $i.\\ e.$, bound states, have quantum numbers $I^G(J^{PC})=0^-(1^{+-})$ and $0^+(1^{++})$. The latter can be related to the $X(3872)$. In the isovector sector, a bound state with $1^+(1^+)$ is found with a large cut off. If a cut off is adopted with which a pole carrying quantum number of the $X(3872)$ is produced at energy about 3871 MeV, the pole for the bound state with $1^+(1^+)$ runs across the threshold to second Rienman sheet and becomes a resonance near the $D\\bar{D}^*$ threshold, which can be identified with the $Z_c(3900)$. With such cute off, the $D\\bar{D}^{*}$ invariant mass spectrum is also investigated and the experimental results by BESIII can be reproduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-20T13:42:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.40.Rt",
      "13.75.Lb",
      "11.10.St"
    ],
    "keywords": [
      "bound state",
      "interaction",
      "light meson exchanges plus",
      "second rienman sheet",
      "bethe-saltpeter equation approach"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.92.034004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1371850
    }
  }
}