Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?

Abstract

We perform an effective-field-theory-based coupled-channel analysis of the recent BES III data on the $e^{+}{e}^{-}$ annihilation into the final state $K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$ in a wide energy range and extract the poles responsible for the formation of the $Z_{cs}(3982)$. We identify two scenarios which provide a similar description of the experimental mass distributions but result in utterly different predictions for the spin partners of the $Z_{cs}(3982)$: although both scenarios are consistent with the $Z_{cs}$ as a $SU(3)$ partner of the $Z_c(3900)$, the $Z_c(4020)$ appears naturally as a spin partner of these states only in one of them (fit 1) while in the other (fit 2) its nature has to be different. Also, the $Z_{cs}(3982)$ has a $J^P=1^{+}$ spin partner near the ${\bar{D}}_s^{\ast }{D}^{\ast }$ threshold in fit 1, while no such state exists in fit 2. We predict the ${\bar{D}}_s^{\ast }{D}^{\ast }$ invariant mass distribution in the $J^P=1^{+}$ channel for the reaction $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}$ and argue that this line shape can be used to distinguish between the two scenarios once data in this channel are available.

21 pages, 6 figures, 4 tables

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Cited by in corpus (16)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Four-quark states with charm quarks in a two-body Bethe-Salpeter approach
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Predicting isovector charmonium-like states from X(3872) properties
• Precise determination of the pole position of the exotic $Z_c(3900)$
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• $Z_{cs}(3985)$ 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 $e^{+}{e}^{-}\to K^{+}{D}_s^{\ast -}{D}^{\ast 0}+c.c.$
• Classification of Coupled-Channel Near-Threshold Structures
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Exotic hadrons associated with $b$-quark