The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model

Abstract

We investigate the masses of $cs\bar{c}\bar{s}$ tetraquark states in a diquark-antidiquark picture employing the relativized quark model proposed by Godfrey and Isgur. Only the antitriplet diquark states in color space are calculated. The diquark masses are obtained with the relativized potential firstly, and then the diquark and antidiquark are treated as the usual antiquark and quark, respectively, and the masses of the tetraquark states are obtained by solving the Schrödinger equation with the relativized potential between the diquark and antidiquark. The theoretical uncertainties induced by screening effects are also taken into account. It is found that the resonance of $X(4140)$ can be regarded as the $cs\bar{c}\bar{s}$ tetraquark ground states, and the $X(4700)$ can be assigned as the $2S$ excited tetraquark state. When the internal excited diquarks are taken into account, the resonance of $X(4500)$ can be explained as the tetraquark composed of one $2S$ scalar diquark and one scalar antidiquark. In our approach, the $X(4274)$ cannot be explained as a tetraquark state, however, it can be a good candidate of the conventional ${\chi }_{c1}(3^3{P}_1)$ state. In addition, other charmonium-like states ${\chi }_{c0}(3915)$, $X(4350)$, $X(4630)$ and $X(4660)$, as the $cs\bar{c}\bar{s}$ tetraquark states, are also discussed.

arXiv commentMinor changes, 8 pages, 2 figures

References in corpus (70)

• The hidden-charm pentaquark and tetraquark states
• Higher Charmonia
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Mass spectra of doubly heavy baryons in the relativistic quark model
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• The New Pentaquarks in the Diquark Model
• The Pentaquark Candidates in the Dynamical Diquark Picture
• Masses of heavy tetraquarks in the relativistic quark model
• Light Meson Spectroscopy
• Properties of Excited Charm and Charm-Strange Mesons
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Bottomonium Mesons and Strategies for Their Observation
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• The Vector and Axial-Vector Charmonium-like States
• Observation of a peaking structure in the J/psi phi mass spectrum from B(+/-) to J/psi phi K(+/-) decays
• Excited heavy tetraquarks with hidden charm
• An interacting quark-diquark model of baryons
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• Y(4143) is probably a molecular partner of Y(3930)
• Evidence for a new resonance and search for the Y(4140) in $\gamma \gamma \to \varphi J/\psi$
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• Search for the X(4140) state in B+->J/psi phi K+ decays with the D0 detector
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• X(3915) and X(4350) as new members in P-wave charmonium family
• Higher mass bottomonia
• Charmed-strange mesons revisited: mass spectra and strong decays
• $B$ and $B_s$ Meson Spectroscopy
• Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a Gürsey and Radicati-inspired exchange interaction
• Exotic Hadrons with Hidden Charm and Strangeness
• Can Y(4140) be a $c\bar{c}s\bar{s}$ tetraquark ?
• ${\chi }_{c0}^{}(3915)$ As the Lightest $c\bar{c}s\bar{s}$ State
• Search for the X(4140) state in B+ to J/psi phi K+ decays
• A QCD sum rule calculation for the Y(4140) narrow structure
• Analysis of the Y(4140) with QCD sum rules
• Y(4140): Possible options
• Higher radial and orbital excitations in the charmed meson family
• Hidden charm octet tetraquarks from a diquark-antidiquark model
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• The hidden charm decay of Y(4140) by the rescattering mechanism
• Interpretation of Axial Resonances in J/psi-phi at LHCb
• Mass spectra of four quark states in hidden charm sector
• $(Q\bar{s}{)}^{(\ast )}(\bar{Q}s{)}^{(\ast )}$ molecular states from QCD sum rules: a view on Y(4140)
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• Analysis of the Y(4140) and related molecular states with QCD sum rules
• Understanding the charmed states recently observed by the LHCb and BaBar Collaborations in the quark model
• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Masses of tetraquarks with open charm and bottom
• Possible effects of color screening and large string tension in heavy quarkonium spectrum
• Heavy quark symmetry and weak decays of the $b$-baryons in pentaquarks with a $c\bar{c}$ component
• QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra
• Novel charmonium-like structures in the $J/\psi \varphi$ and $J/\psi \omega$ invariant mass spectra
• Exotic resonances due to $\eta$ exchange
• The open-charm radiative and pionic decays of molecular charmonium Y(4274)
• The $D_{sJ}^{\ast }(2860)$ Mesons as Excited D-wave $c\bar{s}$ States
• Strong decays of the $XYZ$ states
• Radiative decays of the Y(3940), Z(3930) and the X(4160) as dynamically generated resonances
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
• Masses of open charm and bottom tetraquark states in a relativized quark model
• Heavy Tetraquarks in the Diquark-Antidiquark Picture
• Comprehending heavy charmonia and their decays by hadron loop effects
• Exotic mesons with hidden charm as diquark-antidiquark states
• Probing the $XYZ$ states through radiative decays
• Unraveling the pattern of the $XYZ$ mesons
• Understanding close-lying exotic charmonia states within QCD sum rules
• Finite mass corrections for B -> D(*), D** \ell νdecays in the Bakamjian-Thomas relativistic quark model

Cited by in corpus (45)

• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Spectroscopy and Decay properties of the charmonium
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Strong decays of higher charmonium states into open-charm meson pairs
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Masses of open charm and bottom tetraquark states in a relativized quark model
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Canonical interpretation of the $X(4140)$ state within the ${}^3{P}_0$ model
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Radial and orbital Regge trajectories in heavy quarkonia
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Revisit the $X(4274)$ as the axialvector tetraquark state
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Charmonium spectrum with a Dirac potential model in the momentum space
• $Y(4626)$ in a chiral constituent quark model
• On tetraquarks with hidden charm and strangeness as phi-psi(2S) hadrocharmonium
• A new decay mode of higher charmonium
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Possible $P$- wave $D_s{\bar{D}}_{s0}(2317)$ molecular state $Y^{{}^{\prime }}(4274)$
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states
• Light meson emissions of the selected charmonium-like states within compact tetraquark configurations
• Mixing of X and Y states from QCD Sum Rules analysis
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• $D$-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules
• The explanation of some exotic states in the $cs\bar{c}\bar{s}$ tetraquark system
• An analysis on doubly bottom molecular tetraquarks composed of $H_{(s)}$ and $T_{(s)}$ doublets
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV