Possible $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states in the extended constituent quark models

Abstract

The possible neutral $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states are studied in the framework of the constituent quark models, which is extended by including the $s$-channel one gluon exchange. Using different types of quark-quark potentials, we solve the four-body Schrödinger equation by means of the Gaussian expansion method. The bound states of $D^{(\ast )}{\bar{D}}^{(\ast )}$ with $J^{PC}=1^{++},2^{++}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ with $J^{PC}=0^{++},1^{+-},1^{++},2^{++}$ are obtained. The molecular states $D^{\ast }\bar{D}$ with $J^{PC}=1^{++}$ and $B^{\ast }\bar{B}$ with $J^{PC}=1^{+-}$ are good candidates for the $X(3872)$ and $Z_b^0(10610)$, respectively.

8 pages, 2 figures

References in corpus (9)

• Multiquark Resonances
• Constituent quark model study of the meson spectra
• Dynamically Generated Open and Hidden Charm Meson Systems
• X(3872) and Other Possible Heavy Molecular States
• Is X(3872) a molecule?
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• An alternative approach to the $\sigma$-meson-exchange in nucleon-nucleon interaction
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• Neutrino Emission From Direct Urca Processes in Pion Condensed Quark Matter

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• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Investigating full-heavy tetraquarks composed of $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$