Higher mass spectra of the fully-charmed and fully-bottom tetraquarks

Abstract

In this work, we calculate the higher mass spectra for the $2S$- and $1D$-wave fully-charmed and fully-bottom tetraquark states in a nonrelativistic potential quark model. The $2S$-wave fully-charmed/bottom tetraquark states lie in the mass range of $\sim (6.9,7.1)$/$(19.7,19.9)$ GeV, apart for the highest $0^{++}$ state $T_{(cc\bar{c}\bar{c})0^{++}}(7185)$/ $T_{(bb\bar{b}\bar{b})0^{++}}(19976)$. Most of the $2S$-wave states highly overlap with the high-lying $1P$-wave states. The masses for the $1D$-wave fully-charmed/bottom tetraquarks are predicted to be in the range of $\sim (6.7,7.2)/(19.5,20.0)$ GeV. The mass range for the $D$-wave tetraquark states cover most of the mass range of the $P$-wave states and the whole mass range of the $2S$-wave states. The narrow structure $X(6900)$ recently observed at LHCb in the di-$J/\psi$ invariant mass spectrum may be caused by the $1P$-, or $2S$-, or $1D$-wave $T_{cc\bar{c}\bar{c}}$ states. The vague structure $X(7200)$ may be caused by the highest $2S$-wave state $T_{(cc\bar{c}\bar{c})0^{++}}(7185)$, two low-lying $3S$-wave states $T_{(cc\bar{c}\bar{c})0^{++}}(7240)$ and $T_{(cc\bar{c}\bar{c})2^{++}}(7248)$, and/or the high-lying $1D$-wave states with masses around 7.2 GeV and $J^{PC}=0^{++},1^{++},2^{++},3^{++}$, or $4^{++}$. While it is apparent that the potential quark model calculations predict more states than the structures observed in the di-$J/\psi$ invariant mass spectrum, our calculations will help further understanding of the properties of these fully-heavy tetraquark states in their strong and magnetic interactions with open channels based on explicit quark model wave functions.

23 pages, 16 tables, 2 figures. To be published in PRD. arXiv admin note: text overlap with arXiv:2008.01372

References in corpus (53)

• Observation of structure in the $J/\psi$-pair mass spectrum
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Exotic meson-meson molecules and compact four--quark states
• 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
• The newly observed open-charm states in quark model
• Excited bottom and bottom-strange mesons in the quark model
• 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
• Fully-heavy tetraquark spectra and production at hadron colliders
• Towards the understanding of fully-heavy tetraquark states from various models
• 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
• Strong decays of fully-charm tetraquarks into di-charmonia
• Interpretation of structure in the di-$J/\psi$ spectrum
• Stable double-heavy tetraquarks: spectrum and structure
• A Canonical Ds(2317)?
• 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 $X(6900)$
• $0^{+}$ 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 $X(6900)$
• Nature of $X(6900)$ and its production mechanism at LHCb
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Exotic resonances of fully-heavy tetraquarks in a lattice-QCD insipired quark model
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Hunting for states in the recent LHCb di-$J/\psi$ invariant mass spectrum
• 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
• The possible tetraquark states $cc\bar{c}\bar{c}$ observed by the LHCb experiment
• Deciphering the recently discovered tetraquark candidates around 6.9 GeV
• Higher fully-charmed tetraquarks: Radial excitations and P-wave 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
• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• Revisit the tetraquark candidates in the $J/\psi J/\psi$ mass spectrum
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Potential model prediction of fully-heavy tetraquarks $QQ\bar{Q}\bar{Q}$ ($Q=c,b$)
• Inclusive production of fully-charmed $1^{+-}$ tetraquark at $\mathbf{B}$ factory
• A possible interpretation for $X(6900)$ observed in four-muon final state by LHCb -- A light Higgs-like boson?

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• An updated review of the new hadron states
• New structures in the J/$\psi$J/$\psi$ mass spectrum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• $S$-wave fully charmed tetraquark resonant states
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Spectrum of the S-wave fully-heavy tetraquark states
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Charmed-strange tetraquarks and their decays in a potential quark model
• 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
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• The two-body strong decays of the fully-charm tetraquark states
• Light quark fragmentation into S-wave fully charmed tetraquark
• Hadronic molecules with four charm or beauty quarks
• P-wave fully charm and fully bottom tetraquark states
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• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
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• Spectroscopy of $cc\bar{c}\bar{c}$ and $ss\bar{c}\bar{c}$ Tetraquarks within the Framework of Regge Phenomenology
• Spectroscopic study of $ss\bar{b}\bar{b}$ and $bb\bar{b}\bar{b}$ Tetraquarks using Regge phenomenology
• Strong decays of the fully-charm tetraquark states with explicit P-waves via the QCD sum rules
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Fully heavy tetraquark states with a diquark-antidiquark configuration
• 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
• Systematic study of fully heavy-flavored tetraquarks $Q_1{Q}_2{\bar{Q}}_1{\bar{Q}}_2(Q_{1;2}\in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data