Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark

Abstract

Recently LHCb declared a new structure $X(6900)$ in the final state di-$J/\psi$ which is popularly regarded as a $cc$-$\bar{c}\bar{c}$ tetraquark state. %popularly. Within the Bethe-Salpeter (B-S) frame we study the possible $cc$-$\bar{c}\bar{c}$ bound states and the interaction between diquark ($cc$) and antidiquark ($\bar{c}\bar{c}$). In this work $cc$ ($\bar{c}\bar{c}$) is treated as a color anti-triplet (triplet) axial-vector so the quantum numbers of $cc$-$\bar{c}\bar{c}$ bound state are $0^{+}$, $1^{+}$ and $2^{+}$. Learning from the interaction in meson case and using the effective coupling we suggest the interaction kernel for diquark and antidiquark system. Then we deduce the B-S equations for different quantum numbers. Solving these equations numerically we find the spectra of some excited states can be close to the mass of $X(6900)$ when we assign appropriate values for parameter $\kappa$ introduced in the interaction (kernel).We also briefly calculate the spectra of $bb$-$\bar{b}\bar{b}$ bound states. Future measurement of $bb$-$\bar{b}\bar{b}$ state will help us to determine the exact form of effective interaction.

arXiv comment14 pages, two figures

References in corpus (31)

• Observation of structure in the $J/\psi$-pair mass spectrum
• A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
• 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
• Full-heavy tetraquarks in constituent quark models
• 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
• 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
• Towards the understanding of fully-heavy tetraquark states from various models
• 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
• Fully-heavy tetraquarks in strongly interacting medium
• $0^{+}$ fully-charmed tetraquark states
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Isgur-Wise Function for ${\Lambda }_b\to {\Lambda }_c$ in B-S Approach
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Annihilation Rate of $2^{++}$ Charmonium and Bottomonium
• Bethe-Salpeter Equation for Heavy Baryons ω_{Q}^{(*)} in the Diquark Picture
• Is $Z_b(10610)$ a Molecular State?
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• The mass spectra and wave functions for the doubly heavy baryons with $J^P=1^{+}$ heavy diquark core
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• Spectra of Free Diquark in the Bethe-Salpeter Approach
• A possible interpretation for $X(6900)$ observed in four-muon final state by LHCb -- A light Higgs-like boson?
• Study on possible molecular states composed of ${\Lambda }_c\bar{D}$ (${\Lambda }_{b}B$) and ${\Sigma }_c\bar{D}$ (${\Sigma }_{b}B$) within the Bethe-Salpeter framework

Cited by in corpus (43)

• An updated review of the new hadron states
• New constraints on interacting dark energy from DESI DR2 BAO observations
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• 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
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• $S$-wave fully charmed tetraquark resonant states
• Spectroscopy behavior of fully heavy tetraquarks
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• The lineshape of the compact fully heavy tetraquark
• Spectrum of $cc\bar{b}\bar{b}$, $bc\bar{c}\bar{c}$, and $bc\bar{b}\bar{b}$ Tetraquark States in the Dynamical Diquark Model
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Study of $X(6900)$ with unitarized coupled channel scattering amplitudes
• 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
• Possible molecular states of ${\bar{D}}^{\ast }{K}^{\ast }$ ($D^{\ast }{K}^{\ast }$) and the new exotic states $X_0(2900)$ and $X_1(2900)$ ($T_{cs0}^a(2900{)}^0$ and $T_{cs0}^a(2900{)}^{++}$)
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Fully heavy pentaquark states in constituent quark model
• The two-photon decay of X(6900) from light-by-light scattering at the LHC
• 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
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• Light quark fragmentation into S-wave fully charmed tetraquark
• Photoproduction of fully charmed tetraquark at electron-ion colliders
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Hadronic molecules with four charm or beauty quarks
• P-wave fully charm and fully bottom tetraquark states
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• The $X(6900)$ peak could be a molecular state
• Searching for fully-heavy tetraquark states in QCD moment sum rules
• Fully charmed P-wave tetraquark resonant states in the quark model
• One-loop power spectrum corrections in interacting dark energy cosmologies
• Prediction of charmed-bottom pentaquarks in quark model
• Spectroscopic study of $ss\bar{b}\bar{b}$ and $bb\bar{b}\bar{b}$ Tetraquarks using Regge phenomenology
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Possible bound states in the triple-${\eta }_c$ and triple-$J/\psi$ systems