$Z_{cs}(3985{)}^{-}$ 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.

arXiv comment6 pages, 2 figures

References in corpus (43)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• Charmonium levels near threshold and the narrow state $X(3872) \to π^{+}π^{-}\jpsi$
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
• Hadron Loops: General Theorems and Application to Charmonium
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• Fate of the Tetraquark Candidate Zc(3900) from Lattice QCD
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• $Z_c^{+}(3900)$ decay width in QCD sum rules
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• $Z_c(3900)$: what has been really seen?
• Confirmation of a charged charmoniumlike state $Z_c(3885{)}^{\mp }$ in $e^{+}{e}^{-}\to {\pi }^{\pm }(D{\bar{D}}^{\ast }{)}^{\mp }$ with double $D$ tag
• Study of the $Z_c^{+}$ channel using lattice QCD
• Amplitude analysis and the nature of the Zc(3900)
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• Hidden-charm and bottom tetra- and pentaquarks with strangeness in the hadro-quarkonium and compact tetraquark models
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
• First lattice study of low-energy charmonium-hadron interaction
• A practical parametrization for line shapes of near-threshold states
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• $Z_c(4025)$ as the hadronic molecule with hidden charm
• The $Z_c$ structures in a coupled-channels model
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$

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
• Z_c -like spectra from QCD Laplace sum rules at NLO
• $Z_{cs}(3985{)}^{-}$: 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