The Simple Spectrum of $c\bar{c}c\bar{c}$ States in the Dynamical Diquark Model

Abstract

We develop the spectroscopy of $c\bar{c}c\bar{c}$ and other all-heavy tetraquark states in the dynamical diquark model. In the most minimal form of the model (e.g., each diquark appears only in the color-triplet combination; the non-orbital spin couplings connect only quarks within each diquark), the spectroscopy is extremely simple. Namely, the $S$-wave multiplets contain precisely 3 degenerate states ($0^{++}$, $1^{+-}$, $2^{++}$) and the 7 $P$-wave states satisfy an equal-spacing rule when the tensor coupling is negligible. When comparing numerically to the recent LHCb results, we find the best interpretation is assigning $X(6900)$ to the $2S$ multiplet, while a lower state suggested at about $6740$ MeV fits well with the members of the $1P$ multiplet. We also predict the location of other multiplets ($1S$, $1D$, etc.) and discuss the significance of the $cc$ open-flavor threshold.

9 pages, no figures. Minor revisions. Version accepted to appear in Physical Review D

References in corpus (7)

• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• The Dynamical Diquark Model: First Numerical Results
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Spectroscopy of Exotic Hadrons Formed from Dynamical Diquarks
• The Spectrum of $P$-Wave Hidden-Charm Exotic Mesons in the Diquark Model

Cited by in corpus (65)

• An updated review of the new hadron states
• Tetra- and penta-quark structures in the constituent quark model
• New structures in the J/$\psi$J/$\psi$ mass spectrum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Fully-heavy tetraquark spectra and production at hadron colliders
• 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
• Masses of the $QQ\bar{Q}\bar{Q}$ tetraquarks in the relativistic diquark--antidiquark picture
• Interpretation of structure in the di-$J/\psi$ spectrum
• 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
• Gluonic Tetracharm Configuration of $X(6900)$
• $0^{+}$ 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?
• Exotic resonances of fully-heavy tetraquarks in a lattice-QCD insipired quark model
• 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
• Fully heavy pentaquarks
• Fully-heavy tetraquark production by $\gamma \gamma$ interactions in hadronic collisions at the LHC
• Four-quark states with charm quarks in a two-body Bethe-Salpeter approach
• Tetraquarks in large-$N_c$ QCD
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Fine Structure of Pentaquark Multiplets in the Dynamical Diquark Model
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• All-charm tetraquark in front form dynamics
• Spectroscopy of all charm tetraquark states
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• 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
• Masses of fully-heavy tetraquark states from a four-quark static potential model
• Fully-heavy structures in the invariant mass spectrum of $J/\psi \psi (3686)$, $J/\psi \psi (3770)$, $\psi (3686)\psi (3686)$, and $J/\psi {\rm Y}(1S)$ at hadron colliders
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• X(6200) as a compact tetraquark in the QCD string model
• Fully heavy pentaquark states in constituent quark model
• Triply-heavy tetraquarks in an extended relativized quark model
• Improved understanding of the peaking phenomenon existing in the new di-$J/\psi$ invariant mass spectrum from the CMS Collaboration
• Inclusive production of fully-charmed $1^{+-}$ tetraquark at $\mathbf{B}$ factory
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Fully-heavy hexaquark states via the QCD sum rules
• Flavor Exotic Triply-Heavy Tetraquark States in AdS/QCD Potential
• Charmonium spectrum in an unquenched quark model
• A possible interpretation for $X(6900)$ observed in four-muon final state by LHCb -- A light Higgs-like boson?
• Photoproduction of fully charmed tetraquark at electron-ion colliders
• Light quark fragmentation into S-wave fully charmed tetraquark
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Quark-diquark potential and diquark mass from Lattice QCD
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model
• Hadronic molecules with four charm or beauty quarks
• P-wave fully charm and fully bottom tetraquark states
• Radiative Transitions of Charmoniumlike Exotics in the Dynamical Diquark Model
• Doubly charmed hexaquarks in the diquark picture
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• Fully charmed P-wave tetraquark resonant states in the quark model
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Fully heavy tetraquark states with a diquark-antidiquark configuration
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems
• Study of Fully heavy Pentaquarks using extended Gursey-Radicati formalism