4.7 Article

Deriving the existence of B(B)over-bar* bound states from the X(3872) and heavy quark symmetry

期刊

PHYSICAL REVIEW D
卷 84, 期 5, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.056015

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资金

  1. DGI [FIS2006-03438, FIS2008-01143]
  2. Generalitat Valenciana [PROMETEO/2009/0090]
  3. Spanish Ingenio-Consolider 2010 Program CPAN [CSD2007-00042]
  4. EU

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We discuss the possibility and the description of bound states between B and (B) over bar* 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 (D) over bar* system and (iii) heavy quark symmetry. From these assumptions the binding energy of the possible B (B) over bar* 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 S-3(1) - D-3(1) state with a binding energy of 20 MeV and 6 MeV below threshold, respectively, and a positive C-parity P-3(0) shallow state located almost at the B (B) over bar* 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.

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