Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules

Abstract

We extend the one pion exchange model at quark level to include the short distance contributions coming from $\eta$, $\sigma$, $\rho$ and $\omega$ exchange. This formalism is applied to discuss the possible molecular states of $D{\bar{D}}^{\ast }/\bar{D}{D}^{\ast }$, $B{\bar{B}}^{\ast }/\bar{B}{B}^{\ast }$, $D{D}^{\ast }$, $B{B}^{\ast }$, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$ respectively. The "$\delta$ function" term contribution and the S-D mixing effects have been taken into account. We find the conclusions reached after including the heavier mesons exchange are qualitatively the same as those in the one pion exchange model. The previous suggestion that $1^{++}$ $B{\bar{B}}^{\ast }/\bar{B}{B}^{\ast }$ molecule should exist, is confirmed in the one boson exchange model, whereas $D{D}^{\ast }$ bound state should not exist. The $D{\bar{D}}^{\ast }/\bar{D}{D}^{\ast }$ system can accomodate a $1^{++}$ molecule close to the threshold, the mixing between the molecule and the conventional charmonium has to be considered to identify this state with X(3872). For the $B{B}^{\ast }$ system, the pseudoscalar-vector systems with $C=B=1$ and $C=-B=1$, near threshold molecular states may exist. These bound states should be rather narrow, isospin is violated and the I=0 component is dominant. Experimental search channels for these states are suggested.

21 pages, 11 figures, 8 tables

References in corpus (16)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• The D*0 D0bar threshold resonance
• Exotic QQ\qbar\qbar States in QCD
• Molecular States of Heavy Quark Mesons
• Analysis of the Quantum Numbers $J^{PC}$ of the X(3872) Particle
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Nucleon Resonance Transition Couplings to Vector Mesons

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