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 $2^{++}$

Abstract

We have studied the mass spectra of the hidden-charm/bottom $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$ and $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$ in the framework of QCD sum rules. We construct ten scalar and four tensor interpolating currents in a systematic way and calculate the mass spectra for these tetraquark states. The $X^{\ast }(3860)$ may be either an isoscalar tetraquark state or ${\chi }_{c0}(2P)$. If the $X^{\ast }(3860)$ is a tetraquark candidate, our results prefer the $0^{++}$ option over the $2^{++}$ one. The $X(4160)$ may be classified as either the scalar or tensor $qc\bar{q}\bar{c}$ tetraquark state while the $X(3915)$ favors a $0^{++}$ $qc\bar{q}\bar{c}$ or $sc\bar{s}\bar{c}$ tetraquark assignment over the tensor one. The $X(4350)$ can not be interpreted as a $sc\bar{s}\bar{c}$ tetraquark with either $J^{PC}=0^{++}$ or $2^{++}$.

arXiv comment15 pages, 4 figures, 5 tables, suggestions and comments welcome

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• Pentaquark and Tetraquark states
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Strong decays of higher charmonium states into open-charm meson pairs
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Observation of a resonant structure near the $D_s^{+}{D}_s^{-}$ threshold in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• Mass Calculations of Light Quarkonium, Exotic $J^{PC}=0^{+-}$ Hybrid Mesons from Gaussian Sum-Rules
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• The scalar exotic resonances X(3915), X(3960), X(4140)
• Charmonium states in a coupled-channel model
• Mass spectra of $N\Omega$ dibaryons in the ${}^3{S}_1$ and ${}^5{S}_2$ channels
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• Exotic $\Omega \Omega$ dibaryon states in a molecular picture
• Exploratory study of X(4140) in QCD sum rules
• Tetraquark molecular states in the $D_s{\bar{D}}_{s1}$ and $D_s^{\ast }{\bar{D}}_{s0}^{\ast }$ mass spectrum
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• An analysis on doubly bottom molecular tetraquarks composed of $H_{(s)}$ and $T_{(s)}$ doublets
• Study of the ${\Omega }_{ccc}{\Omega }_{ccc}$ and ${\Omega }_{bbb}{\Omega }_{bbb}$ dibaryons in QCD Sum Rules
• Exotic hadrons associated with $b$-quark
• Compact $N$-quark Hadron Mass Dependence on $N^4$: A Classical Field Picture