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.

Minor changes, 8 pages, 2 figures

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Cited by in corpus (27)

• Pentaquark and Tetraquark states
• 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
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• 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
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• 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?
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Possible $P$- wave $D_s{\bar{D}}_{s0}(2317)$ molecular state $Y^{{}^{\prime }}(4274)$
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons
• Mixing of X and Y states from QCD Sum Rules analysis
• Light meson emissions of the selected charmonium-like states within compact tetraquark configurations
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• $D$-wave excited $cs\bar{c}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{+-}$
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules
• 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
• 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