{
  "id": "1106.0600",
  "version": "v2",
  "published": "2011-06-03T10:01:12.000Z",
  "updated": "2011-08-31T15:28:59.000Z",
  "title": "Deriving the existence of $B\\bar{B}^*$ bound states from the X(3872) and Heavy Quark Symmetry",
  "authors": [
    "J. Nieves",
    "M. Pavon Valderrama"
  ],
  "comment": "21 pages, 3 figures; a sign error in the potential has been corrected and new predictions have been computed",
  "categories": [
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We discuss the possibility and the description of bound states between $B$ and $\\bar{B}^*$ mesons. We argue that the existence of such a bound state can be deduced from (i) the weakly bound X(3872) state, (ii) certain assumptions about the short range dynamics of the $D\\bar{D}^*$ system and (iii) heavy quark symmetry. From these assumptions the binding energy of the possible $B\\bar{B}^*$ bound states is determined, first in a theory containing only contact interactions which serves as a straightforward illustration of the method, and then the effects of including the one pion exchange potential are discussed. In this latter case three isoscalar states are predicted: a positive and negative C-parity $^3S_1-{}^3D_1$ state with a binding energy of $20\\,{\\rm MeV}$ and $6\\,{\\rm MeV}$ below threshold respectively, and a positive C-parity $^3P_0$ shallow state located almost at the $B\\bar{B}^*$ threshold. However, large uncertainties are generated as a consequence of the $1/m_Q$ corrections from heavy quark symmetry. Finally, the newly discovered isovector $Z_b(10610)$ state can be easily accommodated within the present framework by a minor modification of the short range dynamics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-31T15:28:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.40.Rt",
      "14.40.Lb",
      "13.75.Lb",
      "03.65.Ge",
      "14.40.Nb"
    ],
    "keywords": [
      "heavy quark symmetry",
      "bound state",
      "short range dynamics",
      "binding energy",
      "pion exchange potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.84.056015",
      "journal": "Physical Review D",
      "year": 2011,
      "month": "Sep",
      "volume": 84,
      "number": 5,
      "pages": "056015"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 912576,
      "adsabs": "2011PhRvD..84e6015N"
    }
  }
}