Deriving the existence ofBB¯*bound states from theX(3872)and heavy quark symmetry

2011/06/30 by J. Nieves, M. Pavon Valderrama, M. Pavón Valderrama · 6 citations
Mathematics · Physics and Astronomy · #Binding energy #Bound state #Energy (signal processing) #Isoscalar #Isovector #Mathematical analysis #Mathematical physics #Mathematics #Meson #Nuclear physics research studies #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Upper and lower bounds #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.84.056015

21 pages, 3 figures; a sign error in the potential has been corrected and new predictions have been computed

arxiv created 2011/08/31 · openalex publication_date 2011/09/27 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the possibility and the description of bound states between B and 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 DD^* system and (iii) heavy quark symmetry. From these assumptions the binding energy of the possible BB^* 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 ³S₁\ensuremath-³D₁ state with a binding energy of 20 MeV and 6 MeV below threshold, respectively, and a positive C-parity ³P₀ shallow state located almost at the BB^* 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.

Citations

• The D threshold resonance
• Observation and Properties of theX(3872)Decaying toJ/ψπ+π−inpp¯Collisions ats=1.96 TeV
• X(3872) DIAGNOSTICS WITH DECAYS TO D Dγ
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• gB*Bπ-coupling in the static heavy quark limit
• Is X(3872) really a molecular state?
• Modern theory of nuclear forces
• Precision Study of B* B Coupling for the Static Heavy-Light Meson
• Study of theB−→J/ψK−π+π−decay and measurement of theB−→X(3872)K−branching fraction
• Pion interactions in theX(3872)
• Review of Particle Physics
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays

Cited by

• Exotic hadrons with heavy flavors: X, Y, Z, and related states
• Three-bodyDD¯πdynamics for theX(3872)
• Heavy quark spin symmetry partners of theX(3872)
• Possible assignments of the X(3872) X ( 3872 ) , Z_c(3900) Z c ( 3900 ) , and Z_b(10610) Z b ( 10610 ) as axial-vector molecular states
• Study ofBB¯*andB*B¯*interactions inI=1and relationship to theZb(10610),Zb(10650)states
• Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules

Related

• X(3872) and Other Possible Heavy Molecular States
• X(3872) as a molecular DD* state in a potential model
• Bound states of the heavy flavor vector mesons andY(4008)andZ1+(4050)
• X(3872)and the bound state problem ofD0D¯*0(D¯0D*0)in a chiral quark model
• Heavy quark symmetry predictions for weakly boundB-meson molecules