Hadronic molecules with four charm or beauty quarks

Abstract

We apply the extended local hidden gauge formalism to study the meson-meson interactions with the quark constituents $cc\bar{c}\bar{c}$, $cc\bar{c}\bar{b}/\bar{c}\bar{c}cb$, $cc\bar{b}\bar{b}/\bar{c}\bar{c}bb$, $bb\bar{c}\bar{b}/\bar{b}\bar{b}cb$, and $bb\bar{b}\bar{b}$, where the exchanged mesons are the fully-heavy vector mesons $J/\psi$, $B_c^{\ast }$, and ${\rm Y}$. We solve the coupled-channel Bethe-Salpeter equation to derive two poles in the $bb\bar{c}\bar{b}$ system and two poles in the $cc\bar{c}\bar{b}$ system. There are also four charge-conjugated poles in the $\bar{b}\bar{b}cb$ and $\bar{c}\bar{c}cb$ systems. In the $bb\bar{c}\bar{b}$ system, one pole corresponds to a sub-threshold bound state when the cutoff momentum is set to $\Lambda >850$ MeV. The other pole in this system corresponds to a sub-threshold bound state when $\Lambda >1100$ MeV. In the $cc\bar{c}\bar{b}$ system, the two poles correspond to sub-threshold bound states only when $\Lambda >1550$ MeV and $\Lambda >2650$ MeV. This makes them difficult to identify as deeply-bound hadronic molecules. We propose investigating the two poles of the $bb\bar{c}\bar{b}$ system in the ${\mu }^{+}{\mu }^{-}{B}_c^{-}$channel at the LHC.

9 pages, 2 figures, 2 tables, revised version

References in corpus (80)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral Dynamics of the Two Λ(1405) States
• An updated review of the new hadron states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Meson-Meson interaction in a non-perturbative chiral approach
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Observation of structure in the $J/\psi$-pair mass spectrum
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Understanding the newly observed heavy pentaquark candidates
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and the LHCb hidden-charmed pentaquarks
• Quark mass dependence of s-wave baryon resonances
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• Hunting for exotic doubly hidden-charm/bottom tetraquark states
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Lattice QCD and QCD Sum Rule determination of the decay constants of eta_c, J/psi and hc states
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• Full-heavy tetraquarks in constituent quark models
• Looking for a hidden-charm pentaquark state with strangeness $S=-1$ from ${\Xi }_b^{-}$ decay into $J/\psi K^{-}\Lambda$
• The Simple Spectrum of $c\bar{c}c\bar{c}$ States in the Dynamical Diquark Model
• Doubly-hidden scalar heavy molecules and tetraquarks states from QCD at NLO
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Fully-heavy tetraquark spectra and production at hadron colliders
• A study of $cc\bar{c}\bar{c}$ tetraquark decays in 4 muons and in $D^{(\ast )}{\bar{D}}^{(\ast )}$ at LHC
• Systematics of fully heavy tetraquarks
• Masses of the $QQ\bar{Q}\bar{Q}$ tetraquarks in the relativistic diquark--antidiquark picture
• Baryon states with hidden charm in the extended local hidden gauge approach
• Interpretation of structure in the di-$J/\psi$ spectrum
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• Dynamically generated $J^P=1/2^{-}(3/2^{-})$ singly charmed and bottom heavy baryons
• Scalar Fully-heavy Tetraquark States $Q{Q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ in QCD Sum Rules
• On the mechanism of $T_{4c}(6900)$ tetraquark production
• Fully-heavy tetraquarks in strongly interacting medium
• Gluonic Tetracharm Configuration of $X(6900)$
• Stability of tetrons
• $0^{+}$ fully-charmed tetraquark states
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Exotic resonances of fully-heavy tetraquarks in a lattice-QCD insipired quark model
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Prediction of a $Z_c(4000)$ $D^{\ast }{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(4025)$
• Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks
• Deciphering the recently discovered tetraquark candidates around 6.9 GeV
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• $S$-wave fully charmed tetraquark resonant states
• Some remarks on $X(6900)$
• Exclusive radiative production of fully-charmed tetraquarks at $B$ Factory
• Fully-heavy tetraquark production by $\gamma \gamma$ interactions in hadronic collisions at the LHC
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• All-charm tetraquark in front form dynamics
• The lineshape of the compact fully heavy tetraquark
• Spectroscopy of all charm tetraquark states
• Hunting for tetraquarks in ultra-pheripheral heavy ion collisions
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• Masses of fully-heavy tetraquark states from a four-quark static potential model
• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• Exotic molecular meson states of $B^{(\ast )}{K}^{(\ast )}$ nature