A unified description of the hidden-charm tetraquark states $Z_{cs}(3985)$, $Z_c(3900)$ and $X(4020)$

Abstract

The newly observed hidden-charm tetraquark state $Z_{cs}(3985)$, together with $Z_c(3900)$ and $X(4020)$, are studied in the combined theoretical framework of the effective range expansion, compositeness relation and the decay width saturation. The elastic effective-range-expansion approach leads to sensible results for the scattering lengths, effective ranges and the compositeness coefficients, $i.e.$, the probabilities to find the two-charm-meson molecule components in the tetraquark states. The coupled-channel formalism by including the $J/\psi \pi$ and $D{\bar{D}}^{\ast }/\bar{D}{D}^{\ast }$ to fulfill the constraints of the compositeness relation and the decay width, confirms the elastic effective-range-expansion results for the $Z_c(3900)$, by using the experimental inputs for the ratios of the decay widths between $D{\bar{D}}^{\ast }/\bar{D}{D}^{\ast }$ and $J/\psi \pi$. With the results from the elastic effective-range-expansion study as input for the compositeness, we generalize the discussions to the $Z_{cs}(3985)$ by including the $J/\psi K^{-}$ and $D_s^{-}{D}^{\ast 0}/D_s^{\ast -}{D}^0$, and predict the partial decay widths of the $J/\psi K^{-}$. Similar calculations are also carried out for the $X(4020)$ by including the $h_c\pi$ and $D^{\ast }{\bar{D}}^{\ast }$, and the partial decay widths of the $h_c\pi$ is predicted. Our results can provide useful guidelines for future experimental measurements.

14 pages. To match the published version in PRD

References in corpus (14)

• Pion Interactions in the X(3872)
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Determination of spin and parity of the $Z_c(3900)$
• Strange molecular partners of the $Z_c(3900)$ and $Z_c(4020)$
• $Z_{cs}(3985{)}^{-}$ 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
• About the exotic structure of $Z_{cs}$
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• $Z_{cs}(3985{)}^{-}$: a strange hidden-charm tetraquark resonance or not?
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction
• The nature of charged charmonium-like states $Z_c(3900)$ and its strange partner $Z_{cs}(3982)$
• Explanation of the newly obseaved $Z_{cs}^{-}(3985)$ as a $D_s^{(\ast )-}{D}^{(\ast )0}$ molecular state

Cited by in corpus (25)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Hadronic molecules in B decays
• Z_c -like spectra from QCD Laplace sum rules at NLO
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Exotic ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular states and $sc\bar{q}\bar{c}$ tetraquark states with $J^P=0^{+},1^{+},2^{+}$
• Tetraquarks in large-$N_c$ QCD
• 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
• Hidden-charm tetraquarks with strangeness in the chiral quark model
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• The low-lying hidden- and double-charm tetraquark states in a constituent quark model with Instanton-induced Interaction
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• The interplay between compact and molecular structures in tetraquarks
• $Z_{cs}$ 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
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model