P-wave fully charm and fully bottom tetraquark states

Abstract

We have studied the mass spectra of the P-wave fully charm and fully bottom tetraquark states in the framework of QCD sum rules. We construct the interpolating currents by inserting the covariant derivative operator ${\overleftrightarrow{\mathcal{D}}}_{\mu }$ between the S-wave diquark and antidiquark fields. The excitation structures show that the pure $\lambda$-mode excited P-wave fully heavy tetraquarks exist for the quantum numbers $J^{PC}=1^{--},1^{-+},2^{--},2^{-+}$ and $3^{--}$, while it is difficult to separate the $\lambda$-mode and $\rho$-mode excitations in the $0^{-+}$ channel. Within three Lorentz indices, there is no pure $\lambda$-mode excited P-wave fully charm/bottom tetraquark operators with $J^{PC}=0^{--}$ and $3^{-+}$. Our results support that the recent observed $X(6900)$ and $X(7200)$ resonances could be interpreted as the P-wave fully charm $cc\bar{c}\bar{c}$ tetraquark states with $J^{PC}=1^{-+}$ and $2^{-+}$, respectively. Some P-wave fully bottom $bb\bar{b}\bar{b}$ tetraquark states are predicted to be lower than the di-${\eta }_b(1S)$ and di-${\rm Y}(1S)$ mass thresholds. Hopefully our calculations will be useful for identifying the nature of new exotic tetraquark states.

arXiv comment18 pages, 11 figures. Accepted by Physical Review D

References in corpus (86)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• Exotica
• Observation of structure in the $J/\psi$-pair mass spectrum
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Hunting for exotic doubly hidden-charm/bottom tetraquark states
• A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
• Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$ configuration
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Four-quark spectroscopy within the hyperspherical formalism
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Tetraquarks composed of 4 heavy quarks
• All-heavy tetraquarks
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• New structures in the J/$\psi$J/$\psi$ mass spectrum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• All-charm tetraquarks
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• A $bb\bar{b}\bar{b}$ di-bottomonium at the LHC?
• Spectrum of the fully-heavy tetraquark state $QQ{\bar{Q}}^{\prime }{\bar{Q}}^{\prime }$
• Full-heavy tetraquarks in constituent quark models
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• String dynamics and metastability of fully-heavy tetraquarks
• 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
• Observation of Upsilon(1S) pair production in proton-proton collisions at sqrt(s) = 8 TeV
• Beauty-full Tetraquarks
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Fully-heavy tetraquark spectra and production at hadron colliders
• 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
• Analysis of the vector and axialvector $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules
• Scalar Fully-heavy Tetraquark States $Q{Q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ in QCD Sum Rules
• QCD Parameters Correlations from Heavy Quarkonia
• On the mechanism of $T_{4c}(6900)$ tetraquark production
• Gluonic Tetracharm Configuration of $X(6900)$
• Fully-heavy tetraquarks in strongly interacting medium
• Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• $0^{+}$ fully-charmed tetraquark states
• Measurement of the ${\rm Y}$(1S) pair production cross section and search for resonances decaying to ${\rm Y}$(1S)${\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for beautiful tetraquarks in the ${\rm Y}(1S)\mu \mu$ invariant-mass spectrum
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• 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
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• 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
• 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
• Exclusive radiative production of fully-charmed tetraquarks at $B$ Factory
• Some remarks on $X(6900)$
• Spectroscopy behavior of fully heavy tetraquarks
• Fully-heavy tetraquark production by $\gamma \gamma$ interactions in hadronic collisions at the LHC
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Analysis of hidden-bottom bb\bar{b}\bar{b} states
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• Spectrum of the S-wave fully-heavy tetraquark states
• All-charm tetraquark in front form dynamics
• The lineshape of the compact fully heavy tetraquark
• Spectroscopy of all charm tetraquark states
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• 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
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Fully Heavy Tetraquark $bb\bar{c}\bar{c}$: Lifetimes and Weak Decays
• Investigation of the stability for fully-heavy $bc\bar{b}\bar{c}$ tetraquark states
• Inclusive production of fully-charmed $1^{+-}$ tetraquark at $\mathbf{B}$ factory
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• 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
• The $X(6900)$ peak could be a molecular state
• Two-photon decay of fully-charmed tetraquarks from light-by-light scattering at the LHC

Cited by in corpus (5)

• Fully charmed P-wave tetraquark resonant states in the quark model
• 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
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems
• Study of the ${\Omega }_{ccc}{\Omega }_{ccc}$ and ${\Omega }_{bbb}{\Omega }_{bbb}$ dibaryons in QCD Sum Rules