The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states

Abstract

In the framework of the one boson exchange model, we have calculated the effective potentials between two heavy mesons $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ from the t- and u-channel $\pi$, $\eta$, $\rho$, $\omega$ and $\sigma$ meson exchange with four kinds of quantum number: $I=0$, $J^{PC}=1^{++}$; $I=0$, $J^{PC}=1^{+-}$; $I=1$, $J^{PC}=1^{++}$; $I=1$, $J^{PC}=1^{+-}$. We keep the recoil corrections to the $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ system up to $O(\frac{1}{M^2})$. The spin orbit force appears at $O(\frac{1}{M})$, which turns out to be important for the very loosely bound molecular states. Our numerical results show that the momentum-related corrections are unfavorable to the formation of the molecular states in the $I=0$, $J^{PC}=1^{++}$ and $I=1$, $J^{PC}=1^{+-}$ channels in the $D{\bar{D}}^{\ast }$ systems.

14 pages, 10 figures

References in corpus (13)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Can the X(3872) be a 1^{++} four-quark state?
• X(3872) and Other Possible Heavy Molecular States
• Pion Interactions in the X(3872)
• Is X(3872) {\sl Really} a Molecular State?
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Axial Resonances in the Open and Hidden Charm Sectors
• New Hadron States
• Isospin breaking, coupled-channel effects, and X(3872)
• X(3872) in lattice QCD with exact chiral symmetry
• Isospin properties of the X state near the D {\bar D}^{*} threshold
• Weakly-bound Hadronic Molecule near a 3-body Threshold
• $X(3872)\to D\bar{D}\gamma$ decays and the structure of X(3872)

Cited by in corpus (5)

• Pentaquark and Tetraquark states
• Employing spin symmetry to disentangle different models for the XYZ states
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Hidden-Charm Tetraquarks and Charged Zc States
• Deuteron-like states composed of two doubly charmed baryons