The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality

Abstract

In this work, we explore the hadronic coupling constants $G_{ZJ/\psi K}$, $G_{Z{\eta }_c{K}^{\ast }}$, $G_{Z{D}^{\ast }{\bar{D}}_s}$ of the exotic states $Z_{cs}(3985/4000)$ both in the pictures of the tetraquark states and molecular states with the tentative assignments $J^{PC}=1^{+-}$ based on the rigorous quark-hadron duality. Then we obtain the total widths ${\Gamma }_{Z_{cs}}^T=15.31\pm 2.06\mathrm{MeV}$ and ${\Gamma }_{Z_{cs}}^M=83.51\pm 21.09\mathrm{MeV}$, which are consistent with the experimental data $13.8_{-5.2}^{+8.1}\pm 4.9\mathrm{MeV}$ from the BESIII collaboration and $131\pm 15\pm 26\mathrm{MeV}$ from the LHCb collaboration, respectively, and support assigning the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ to be the hidden-charm tetraquark state and molecular state with the $J^{PC}=1^{+-}$, respectively.

13 pages, 2 figures

References in corpus (13)

• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Excited heavy tetraquarks with hidden charm
• Determination of spin and parity of the $Z_c(3900)$
• $Z_{cs}(3985{)}^{-}$ 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
• $Z_{cs}(3985{)}^{-}$: a strange hidden-charm tetraquark resonance or not?
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• The newly observed $Z_{cs}(3985{)}^{-}$ state: in vacuum and a dense medium
• 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 (9)

• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• The two-body strong decays of the fully-charm tetraquark states
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• Strong decays of the fully-charm tetraquark states with explicit P-waves via the QCD sum rules
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules