Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$

Abstract

In this article, we tentatively assign the $X(3915)$ and $X(4500)$ to be the ground state and the first radial excited state of the axialvector-diquark-axialvector-antidiquark type scalar $cs\bar{c}\bar{s}$ tetraquark states, respectively, assign the $X(4700)$ to be the ground state vector-diquark-vector-antidiquark type scalar $cs\bar{c}\bar{s}$ tetraquark state, and study their masses and pole residues with the QCD sum rules in details by calculating the contributions of the vacuum condensates up to dimension 10. The numerical results support assigning the $X(3915)$ and $X(4500)$ to be the ground state and the first radial excited state of the axialvector-diquark-axialvector-antidiquark type scalar $cs\bar{c}\bar{s}$ tetraquark states, respectively, and assigning the $X(4700)$ to be the ground state vector-diquark-vector-antidiquark type scalar $cs\bar{c}\bar{s}$ tetraquark state.

15 pages, 2 figures, correct some typing errors. arXiv admin note: text overlap with arXiv:1502.04619, arXiv:1607.00701, arXiv:1312.1537

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Cited by in corpus (44)

• Pentaquark and Tetraquark states
• Analysis of the $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Analysis of the $Z_{cs}(3985)$ as the axialvector tetraquark state
• 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 hidden-charm tetraquark mass spectrum with the QCD sum rules
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• Analysis of the triply-heavy baryon states with the QCD sum rules
• Revisit the tetraquark candidates in the $J/\psi J/\psi$ mass spectrum
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Analysis of the $Y(4220)$ and $Y(4390)$ as molecular states with QCD sum rules
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Investigation of the stability for fully-heavy $bc\bar{b}\bar{c}$ tetraquark states
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
• Analysis of the scalar doubly charmed hexaquark state with QCD sum rules
• Analysis of the mass and width of the $X^{\ast }(3860)$ with QCD sum rules
• Analysis of the pseudoscalar hidden-charm tetraquark states with the QCD sum rules
• Gluonic nature of the newly observed state $X(2600)$
• Analysis of the vector hidden-charm-hidden-strange tetraquark states with implicit P-waves
• Analysis of the hidden-charm-hidden-strange tetraquark mass spectrum via the QCD sum rules
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• Analysis of the possible $D{\bar{D}}_{s0}^{\ast }(2317)$ and $D^{\ast }{\bar{D}}_{s1}^{\ast }(2460)$ molecules with QCD sum rules
• Scalar or vector tetraquark state candidate: $Z_c(4100)$
• Study of $e^{+}{e}^{-}\to \gamma \varphi J/\psi$ from $\sqrt{s}=4.600$ to $4.951$ GeV
• Scalar hidden-charm tetraquark states with QCD sum rules
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Analysis of the $D{\bar{D}}^{\ast }K$ system with QCD sum rules
• Does vacuum saturation work for the higher dimensional vacuum condensates in the QCD sum rules?
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
• Light meson emissions of the selected charmonium-like states within compact tetraquark configurations
• Charmonium resonances on the lattice
• 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
• Analysis of the vector hidden-charm tetraquark states without explicit P-waves via the QCD sum rules
• The scalar and pseudoscalar hidden-charm tetraquark states with QCD sum rules
• The explanation of some exotic states in the $cs\bar{c}\bar{s}$ tetraquark system