$Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry

Abstract

Recently, for the first time, the BESIII Collaboration reported the strange hidden charm tetraquark states $Z_{cs}(3985{)}^{-}$ in the $K^{+}$ recoil-mass spectrum near the $D_s^{-}{D}^{\ast 0}/D_s^{\ast -}{D}^0$ mass thresholds in the processes of $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$ at $\sqrt{s}=4.681$ GeV. The significance was estimated to be 5.3 $\sigma$. We show that the newly observed $Z_{cs}(3985{)}^{-}$ state is the $U$-spin partner of $Z_c(3900{)}^{-}$ as a resonance within coupled-channel calculation in the ${\text{SU(3)}}_F$ symmetry and heavy quark spin symmetry (HQSS). In the ${\text{SU(3)}}_F$ symmetry, we introduce the $G_{U/V}$ parity to construct the flavor wave functions of the $Z_{cs}$ states. In a unified framework, we consider the $J/\psi \pi (K)$, ${\bar{D}}_{(s)}{D}^{\ast }/{\bar{D}}_{(s)}^{\ast }D$ coupled-channel effect with the contact interaction. With the masses and widths of $Z_c(3900)$ and $Z_c(4020)$, we determine all the unknown coupling constants. We obtain mass and width of $Z_{cs}(3985)$ in good agreement with the experimental results, which strongly supports the $Z_{cs}$ states as the $U/V$-spin partner states of the charged $Z_c(3900)$. We also calculate the ratio of the partial decay widths of $Z_{cs}(3985)$, which implies that the ${\bar{D}}_s{D}^{\ast }/{\bar{D}}_s^{\ast }D$ decay modes are dominant. We also predict the $Z_{cs}^{\prime }$ states with a mass around $4130$ MeV and width around $30$ MeV, which are the $U/V$-spin partner states of the charged $Z_c(4020)$ and HQSS partner states of the $Z_{cs}(3985)$. In the hidden bottom sector, we predict the strange tetraquark states $Z_{bs}$ and $Z_{bs}^{\prime }$ with a mass around 10700 MeV and 10750 MeV, which are the $U/V$-spin partner states of $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$, respectively.

6 pages, 2 figures

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• Multiquark Resonances
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• Study of the $Z_c^{+}$ channel using lattice QCD
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Cited by in corpus (43)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• Hadronic molecules in B decays
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• $Z_{cs}(3985{)}^{-}$: a strange hidden-charm tetraquark resonance or not?
• The strange partner of the $Z_c$ structures in a coupled-channels model
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Exotic ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular states and $sc\bar{q}\bar{c}$ tetraquark states with $J^P=0^{+},1^{+},2^{+}$
• Revisit the isospin violating decays of $X(3872)$
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$
• Hidden-charm tetraquarks with strangeness in the chiral quark model
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Photoproduction of strange hidden-charm and hidden-bottom states
• Evidence for a neutral near-threshold structure in the $K_{\mathrm{S}}^0$ recoil-mass spectra in $e^{+}{e}^{-}\to K_{\mathrm{S}}^0{D}_s^{+}{D}^{\ast -}$ and $e^{+}{e}^{-}\to K_{\mathrm{S}}^0{D}_s^{\ast +}{D}^{-}$
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• Strange hidden-charm tetraquarks in constituent quark models
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Precise determination of the pole position of the exotic $Z_c(3900)$
• Study on $Z_{cs}$ and excited $B_s^0$ states in the chiral quark model
• $Z_{cs}$ states from the $D_s^{\ast }{\bar{D}}^{\ast }$ and $J/\psi K^{\ast }$ coupled channels: Signal in $B^{+}\to J/\psi \varphi K^{+}$ decay
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
• Evidence of a $J/\psi K_S^0$ structure in $B^0\to J/\psi \varphi K_S^0$ decays
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• Hadronic medium effects on $Z_{cs}(3985{)}^{-}$ production in heavy-ion collisions
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Exotic hadrons associated with $b$-quark