Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach

Abstract

In this work the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ system is studied in the Bethe-Salpeter approach with quasipotential approximation. In our calculation both direct and cross diagrams are included in the one-boson-exchange potential. The numerical results indicate the existence of a isoscalar bound state $D{\bar{D}}^{\ast }$ with $J^{PC}=1^{++}$, which may be related to the $X(3872)$. In the isovector sector, no bound state is produced from the interactions of $D{\bar{D}}^{\ast }$ and $B{\bar{B}}^{\ast }$, which suggests the molecular state explanations for $Z_b(10610)$ and $Z_c(3900)$ are excluded.

6 pages,

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• New structure around 3250 MeV in the baryonic B decay and the $D_0^{\ast }(2400)N$ molecular hadron
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Cited by in corpus (27)

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• Hadronic molecules in B decays
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Tetraquark systems $\bar{b}b\bar{d}u$ in the static limit and lattice QCD
• $P$-wave coupled channel effects in electron-positron annihilation
• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Investigation of pion-induced $f_1(1285)$ production off a nucleon target within an interpolating Reggeized approach
• Systematical study of ${\Omega }_c$-like molecular states from interactions ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{K}}^{(\ast )}$ and ${\Xi }^{(\ast )}{D}^{(\ast )}$
• Studying the $D_{1}D$ molecule in the Bethe-Salpeter equation approach
• Bottomonium-like tetraquarks in a chiral quark model
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Possible molecular states from interactions of charmed baryons
• $D$ wave bottomonia production from $Z_b^{(\prime )}$ decay
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and LHCb pentaquarks
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton