Benchmark calculations of fully heavy compact and molecular tetraquark states

Abstract

We calculate the mass spectrum of the S-wave fully heavy tetraquark systems $QQ\bar{Q}\bar{Q}(Q=c,b)$ with both normal $(J^{PC}=0^{++},1^{+-},2^{++})$ and exotic $(J^{PC}=0^{+-},1^{++},2^{+-})$ C-parities using three different quark potential models (AL1, AP1, BGS). The exotic C-parity systems refer to the ones that cannot be composed of two S-wave ground heavy quarkonia. We incorporate the molecular dimeson and compact diquark-antidiquark spatial correlations simultaneously, thereby discerning the actual configurations of the states. We employ the Gaussian expansion method to solve the four-body Schrödinger equation, and the complex scaling method to identify the resonant states. The mass spectra in three different models qualitatively agree with each other. We obtain several resonant states with $J^{PC}=0^{++},1^{+-},2^{++},1^{++}$ in the mass region $(6.92,7.30)\mathrm{GeV}$, some of which are good candidates of the experimentally observed $X(6900)$ and $X(7200)$. We also obtain several exotic C-parity zero-width states with $J^{PC}=0^{+-}$ and $2^{+-}$. These zero-width states have no corresponding S-wave diquarkonium threshold and can only decay strongly to final states with P-wave quarkonia. With the notation $T_{4Q,J(C)}(M)$, we deduce from the root mean square radii that the $X(7200)$ candidates $T_{4c,0(+)}(7173),T_{4c,2(+)}(7214)$ and the state $T_{4c,1(-)}(7191)$ look like molecular states although most of the resonant and zero-width states are compact states.

16 pages, 6 figures, 10 tables. Version accepted by PRD

References in corpus (53)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of structure in the $J/\psi$-pair mass spectrum
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• Towards a theory of hadron resonances
• Heavy tetraquarks in the relativistic quark model
• 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
• Towards the understanding of fully-heavy tetraquark states from various models
• Systematics of fully heavy tetraquarks
• Strong decays of fully-charm tetraquarks into di-charmonia
• Scalar Fully-heavy Tetraquark States $Q{Q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ in QCD Sum Rules
• Fully-heavy tetraquarks in strongly interacting medium
• Gluonic Tetracharm Configuration of $X(6900)$
• Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States
• $0^{+}$ fully-charmed tetraquark states
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• 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?
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Exotic resonances of fully-heavy tetraquarks in a lattice-QCD insipired quark model
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• Tetraquark bound states in constituent quark models: benchmark test calculations
• Hunting for states in the recent LHCb di-$J/\psi$ invariant mass spectrum
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks
• Producing fully-charm structures in the $J/\psi$-pair invariant mass spectrum
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• $S$-wave fully charmed tetraquark resonant states
• Spectroscopy behavior of fully heavy tetraquarks
• Revisit the isospin violating decays of $X(3872)$
• Spectrum of the S-wave fully-heavy tetraquark states
• 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
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
• Masses of fully-heavy tetraquark states from a four-quark static potential model
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
• 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
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Pair structure of heavy tetraquark systems
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering

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• P-wave fully charm and fully bottom tetraquark states
• Trilepton and tetralepton bound and resonant states: the QED counterpart of multiquark states
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• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• The $\varphi NN,J/\psi NN,{\eta }_{c}NN$ systems based on HAL QCD interactions
• DeepQuark: A Deep-Neural-Network Approach to Multiquark Bound States
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• Experimental Review of the Quarkonium Physics at the LHC
• Tetraquark states in the quark model
• The charmonium-like exotic hadron productions in $e^{+}{e}^{-}$ collisions at the BESIII energy with the PACIAE model
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems
• ${\eta }_c{\eta }_c$ and $J/\psi J/\psi$ scatterings from lattice QCD
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