Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems

Abstract

The observations of fully-charm tetraquark states in the LHCb, CMS and ATLAS experiments suggested the existence of the hadronic molecules of two-charmonium states, which may also imply bound states in the three-charmonium systems. In this work, we study the possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems with $J^{PC}=0^{-+}$ and $1^{--}$, respectively. In QCD sum rules, we calculate the two-point correlation functions and spectral functions up to the dimension-four gluon condensate. We use the iterative dispersion relation approach to deal with the five-loop banana integrals, which significantly improves the computational efficiency. Our results show that the masses of triple-${\eta }_c$ and triple-$J/\psi$ states lie below the corresponding mass thresholds, supporting the existence of such three-body bound states.

7 pages, 5 figures. Accepted for publication in Chinese Physics Letters

References in corpus (38)

• Pentaquark and Tetraquark states
• 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
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• Dibaryon with highest charm number near unitarity from lattice QCD
• 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
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Spectroscopy behavior of fully heavy tetraquarks
• Very heavy flavored dibaryons
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• All-charm tetraquark in front form dynamics
• NLO results with operator mixing for fully heavy tetraquarks in QCD sum rules
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
• Study of $X(6900)$ with unitarized coupled channel scattering amplitudes
• 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
• Diffusion Monte Carlo calculations of fully-heavy compact hexaquarks
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• X(6200) as a compact tetraquark in the QCD string model
• Investigation of the stability for fully-heavy $bc\bar{b}\bar{c}$ tetraquark states
• Relativistic description of asymmetric fully heavy tetraquarks in the diquark-antidiquark model
• Fully-heavy hexaquark states via the QCD sum rules
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• NLO effects for ${\Omega }_{QQQ}$ Baryons in QCD Sum Rules
• Photoproduction of fully charmed tetraquark at electron-ion colliders
• Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Towards a precision determination of the $X(6200)$ parameters from data
• P-wave fully charm and fully bottom tetraquark states
• Spectrum of two-flavored spin-zero heavy dibaryons in lattice QCD
• The $X(6900)$ peak could be a molecular state
• Systematics of fully heavy dibaryons
• Two-photon decay of fully-charmed tetraquarks from light-by-light scattering at the LHC
• Discontinuities of banana integrals in dispersion relation representation

Cited by in corpus (1)

• Study of the ${\Omega }_{ccc}{\Omega }_{ccc}$ and ${\Omega }_{bbb}{\Omega }_{bbb}$ dibaryons in QCD Sum Rules