Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states

Abstract

Recently, the hidden charm tetraquark states $Z_{cs}(3985)$ and $Z_{cs}(4000)$ with strangeness were observed by the BESIII and LHCb collaborations, respectively, which are great breakthroughs for exploring exotic QCD structures. The first and foremost question is whether they are the same state. In this work, we explore the implications of the narrower state $Z_{cs}(3985)$ in BESIII and the wider one $Z_{cs}(4000)$ in LHCb as two different states. Within a solvable nonrelativistic effective field theory, we include the possible violations of heavy quark spin symmetry and SU(3) flavor symmetry in a comprehensive approach. If $Z_{cs}(3985)$ and $Z_{cs}(4000)$ are two different states, our results show that $Z_{cs}(4000)/Z_{cs}(3985)$ is the pure $(|{\bar{D}}_s^{\ast }D⟩+/-|{\bar{D}}_s{D}^{\ast }⟩)/\sqrt{2}$ state, and the SU(3) flavor partner of $Z_c(3900)$ is $Z_{cs}(4000)$ rather than the $Z_{cs}(3985)$. Another two important consequences are the existence of a tensor ${\bar{D}}_s^{\ast }{D}^{\ast }$ resonance with mass about 4126 MeV and width 13 MeV, and the suppression of the decay mode $Z_{cs}(3985)\to J/\psi K$. The two consequences can be tested in experiments and distinguish the two-state interpretation from the one-state scheme.

arXiv comment8 pages,3 figures and 1 table; Accepted version by Science Bulletin

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• Revisit the isospin violating decays of $X(3872)$
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Hidden-charm tetraquarks with strangeness in the chiral quark model
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• 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 $e^{+}{e}^{-}\to K_{\mathrm{S}}^0{D}_s^{\ast +}{D}^{-}$
• Configuration mixing in strange tetraquarks $Z_{cs}$
• Strange hidden-charm tetraquarks in constituent quark models
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• The new $P_{\mathrm{cs}}(4459)$, $Z_{\mathrm{cs}}(3985)$, $Z_{\mathrm{cs}}(4000)$ and $Z_{\mathrm{cs}}(4220)$ and the possible emergence of flavor pentaquark octets and tetraquark nonets
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
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• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• Search for hidden-charm tetraquark with strangeness in $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• Investigating $Z_{cs}(3985)$ and $Z_{cs}(4000)$ exotic states in ${\Lambda }_b\to Z_{cs}^{-}p$ decays
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory