- 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 \(K^{+}(D^{−}_{s}D^{*0} + D^{*−}_{s}D^{0})\) 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 \(\it SU\)(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 \(\overline {D}_{s}^{*}D^{*}\) threshold in fit 1, while no such state exists in fit 2. We predict the \(\overline {D}_{s}^{*}D^{*}\) invariant mass distribution in the \(J^{P}\)=\(1^{+}\) channel for the reaction \(e^{+}\)\(e^{−}\) → \(K^{+}D_{s}^{*-}D^{*0}\) and argue that this line shape can be used to distinguish between the two scenarios once data in this channel are available.
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