Exotic resonances of fully-heavy tetraquarks in a lattice-QCD insipired quark model

Abstract

Fully-heavy tetraquark states, i.e. $cc\bar{c}\bar{c}$, $bb\bar{b}\bar{b}$, $bb\bar{c}\bar{c}$ ($cc\bar{b}\bar{b}$), $cb\bar{c}\bar{c}$, $cb\bar{b}\bar{b}$, and $cb\bar{c}\bar{b}$, are systematically investigated by means of a non-relativistic quark model based on lattice-QCD studies of the two-body $Q\bar{Q}$ interaction, which exhibits a spin-independent Cornell potential along with a spin-spin term. The four-body problem is solved using the Gaussian expansion method; additionally, the so-called complex scaling technique is employed so that bound, resonance, and scattering states can be treated on the same footing. Moreover, a complete set of four-body configurations, including meson-meson, diquark-antidiquark, and K-type configurations, as well as their couplings, are considered for spin-parity quantum numbers $J^{P(C)}=0^{+(+)}$, $1^{+(\pm )}$, and $2^{+(+)}$ in the $S$-wave channel. Several narrow resonances, with two-meson strong decay widths less than 30 MeV, are found in all of the tetraquark systems studied. Particularly, the fully-charm resonances recently reported by the LHCb Collaboration, at the energy range between 6.2 and 7.2 GeV in the di-$J/\psi$ invariant spectrum, can be well identified in our calculation. Focusing on the fully-bottom tetraquark spectrum, resonances with masses between 18.9 and 19.6 GeV are found. For the remaining charm-bottom cases, the masses are obtained within a energy region from 9.8 GeV to 16.4 GeV. All these predicted resonances can be further examined in future experiments.

24 pages, 19 figures, 27 tables

References in corpus (29)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Observation of structure in the $J/\psi$-pair mass spectrum
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Tetra- and penta-quark structures in the constituent quark model
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Exotic meson-meson molecules and compact four--quark states
• Full-heavy tetraquarks in constituent quark models
• 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
• Doubly-heavy tetraquarks
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Coupled-channel interpretation of the LHCb double-$J/\psi$ spectrum and hints of a new state near the $J/\psi J/\psi$ threshold
• Masses of the $QQ\bar{Q}\bar{Q}$ tetraquarks in the relativistic diquark--antidiquark picture
• Strong decays of fully-charm tetraquarks into di-charmonia
• Interpretation of structure in the di-$J/\psi$ spectrum
• Fully-heavy tetraquarks in strongly interacting medium
• Search for $bb\bar{b}\bar{b}$ tetraquark decays in 4 muons, $B^{+}{B}^{-}$, $B^0{\bar{B}}^0$ and $B_s^0{\bar{B}}_s^0$ channels at LHC
• Measurement of the ${\rm Y}$(1S) pair production cross section and search for resonances decaying to ${\rm Y}$(1S)${\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• The possible tetraquark states $cc\bar{c}\bar{c}$ observed by the LHCb experiment
• Producing fully-charm structures in the $J/\psi$-pair invariant mass spectrum
• Deciphering the recently discovered tetraquark candidates around 6.9 GeV
• Doubly Charmed Pentaquarks
• The $\mathbf{sQ}\bar{\mathbf{q}}\bar{\mathbf{q}}$ $(\mathbf{q}=\mathbf{u},\mathbf{d};\mathbf{Q}=\mathbf{c},\mathbf{b})$ tetraquarks in the chiral quark model
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He

Cited by in corpus (28)

• An updated review of the new hadron states
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• $S$-wave fully charmed tetraquark resonant states
• Four-quark states with charm quarks in a two-body Bethe-Salpeter approach
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Spectrum of the S-wave fully-heavy tetraquark states
• The lineshape of the compact fully heavy tetraquark
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
• Fully-charm and -bottom pentaquarks in a Lattice-QCD inspired quark model
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Improved understanding of the peaking phenomenon existing in the new di-$J/\psi$ invariant mass spectrum from the CMS Collaboration
• Relativistic description of asymmetric fully heavy tetraquarks in the diquark-antidiquark model
• Hidden-flavour four-quark states in the charm and bottom region
• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Fully heavy tetraquark resonant states with different flavors
• Hadronic molecules with four charm or beauty quarks
• P-wave fully charm and fully bottom tetraquark states
• Bottomonium-like tetraquarks in a chiral quark model
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Fully charmed P-wave tetraquark resonant states in the quark model
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems
• The heavy tetra-quark states after the discovery of tetra-charm states