Potential model prediction of fully-heavy tetraquarks $QQ\bar{Q}\bar{Q}$ ($Q=c,b$)

Abstract

The fully-heavy tetraquark states $QQ\bar{Q}\bar{Q}$ ($Q=c,b$) are systematically investigated by means of a nonrelativistic potential model. The model is based on the lattice QCD study of the two-body $Q\bar{Q}$ interaction, which exhibits a spin-independent Cornell potential along with a spin-spin interaction. The four-body problem is implemented with a highly accurate computational approach, the Gaussian expansion method. The complex scaling method is also employed so that the bound, resonance, and scattering states can be treated on the same footing. Complete set of the four-body configurations, including meson-meson, diquark-antidiquark, and K-type configurations, as well as their couplings, are considered for spin-parity quantum numbers $J^{PC}=0^{++}$, $1^{+-}$, and $2^{++}$ in the $S$-wave channel. No $S$-wave bound state is found either in the fully-charm tetraquark system or in the fully-bottom one. However, several narrow resonances, with widths less than 10 MeV in two-meson strong decay, are found in both of these two systems. For the fully-charm case, the recently reported resonance structures between 6.2 and 7.2 GeV in the di-$J/\psi$ invariant spectrum by the LHCb collaboration, can be well identified in our calculation. For the fully-bottom case, resonances with masses between 18.9 and 19.6 GeV are found. The predicted resonances can be further examined in future experiments.

An improved work on fully-heavy tetraquark systems is performed by us in another theoretical framework. Besides, there is a little change for the authors

Cited by in corpus (20)

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• Fully-heavy tetraquark spectra and production at hadron colliders
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• Gluonic Tetracharm Configuration of $X(6900)$
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Producing fully-charm structures in the $J/\psi$-pair invariant mass spectrum
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• 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
• 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
• X(6200) as a compact tetraquark in the QCD string model
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Inclusive production of fully-charmed $1^{+-}$ tetraquark at $\mathbf{B}$ factory
• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
• Flavor Exotic Triply-Heavy Tetraquark States in AdS/QCD Potential
• A possible interpretation for $X(6900)$ observed in four-muon final state by LHCb -- A light Higgs-like boson?
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Searching for fully-heavy tetraquark states in QCD moment sum rules
• Determination of parameters of a potential model for tetraquark study by studying all S-wave mesons