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

Abstract

In this work, we preform a systematic investigation about hidden heavy and doubly heavy molecular states from the $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in the quasipotential Bethe-Salpeter equation (qBSE) approach. With the help of Lagrangians with heavy quark and chiral symmetries, interaction potentials are constructed within the one-boson-exchange model in which we include the $\pi$, $\eta$, $\rho$, $\omega$ and $\sigma$ exchanges, as well as $J/\psi$ or ${\rm Y}$ exchange. Possible bound states from the interactions considered are searched for as the pole of scattering amplitude. The results suggest that experimentally observed states, $Z_c(3900)$, $Z_c(4020)$, $Z_b(10610)$, and $Z_b(10650)$, can be related to the $D{\bar{D}}^{\ast }$, $D^{\ast }{\bar{D}}^{\ast }$, $B{\bar{B}}^{\ast }$, and $B^{\ast }{\bar{B}}^{\ast }$ interactions with quantum numbers $I^G(J^P)=1^{+}(1^{+})$, respectively. The $D{\bar{D}}^{\ast }$ interaction is also attractive enough to produce a pole with $0^{+}(0^{+})$ which is related to the $X(3872)$. Within the same theoretical frame, the existence of $D\bar{D}$ and $B\bar{B}$ molecular states with $0(0^{+})$ are predicted. The possible $D^{\ast }{\bar{D}}^{\ast }$ molecular states with $0(0^{+},1^{+},2^{+})$ and $1(0^{+})$ and their bottom partners are also suggested by the calculation. In the doubly heavy sector, no bound state is produced from the $DD/\bar{B}\bar{B}$ interaction while a bound state is found with $0(1^{+})$ from $D{D}^{\ast }/\bar{B}{\bar{B}}^{\ast }$ interaction. The $D^{\ast }{D}^{\ast }/{\bar{B}}^{\ast }{\bar{B}}^{\ast }$ interaction produces three molecular states with $0(1^{+})$, $0(2^{+})$ and $1(2^{+})$.

arXiv comment7 pages

References in corpus (41)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Dynamically Generated Open and Hidden Charm Meson Systems
• Threshold cusps and triangle singularities in hadronic reactions
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• X(3872) and Other Possible Heavy Molecular States
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Charming penguins in B => K* pi, K (rho,omega,phi) decays
• J/psi absorption by pi and rho mesons in a meson exchange model with anomalous parity interactions
• $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$ as the $B^{\ast }\bar{B}$ and $B^{\ast }{\bar{B}}^{\ast }$ molecular states
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Possible assignments of the $X(3872)$, $Z_c(3900)$ and $Z_b(10610)$ as axial-vector molecular states
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• An explanation of Belle states Z_b(10610) and Z_b(10650)
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Study of the $Z_c^{+}$ channel using lattice QCD
• Could $Z_b(10610)$ be a $B^{\ast }\bar{B}$ molecular state?
• Improved QCD sum rule study of $Z_c(3900)$ as a $\bar{D}{D}^{\ast }$ molecular state
• Study of e+e- => B(*) B(*)-bar pi+- at sqrt(s)=10.866 GeV
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• $Z_c(4025)$ as the hadronic molecule with hidden charm
• $Z_b/Z_b^{\prime }\to {\rm Y}\pi$ and $h_b\pi$ decays in intermediate meson loops model
• BB Intermeson Potentials in the Quark Model
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Spin partners of the $Z_b(10610)$ and $Z_b(10650)$ revisited
• Spin partners $W_{bJ}$ from the line shapes of the $Z_b(10610)$ and $Z_b(10650)$
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings

Cited by in corpus (34)

• An updated review of the new hadron states
• A survey of heavy-heavy hadronic molecules
• Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Possible molecular states from interactions of charmed baryons
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• The ground states of hidden-charm tetraquarks and their radial excitations
• Spin Partners of the $B^{(\ast )}{\bar{B}}^{(\ast )}$ resonances with a different approach than the Breit-Wigner parameterization
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$