The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states

Abstract

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

12 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1403.4043

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Cited by in corpus (11)

• The hidden-charm pentaquark and tetraquark states
• Heavy-Quark QCD Exotica
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• Deuteron-like states composed of two doubly charmed baryons
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Possible hadronic molecules composed of the doubly charmed baryon and nucleon
• $P$-wave coupled channel effects in electron-positron annihilation
• Exotic Hadron Bound State Production at Hadronic Colliders
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels