The first search for double charged charmoniumlike state production in $\mathrm{\Upsilon }(1S)$ and $\mathrm{\Upsilon }(2S)$ decays and in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.52$, 10.58, and 10.867 GeV is conducted using data collected with the Belle detector at the KEKB asymmetric energy electron-positron collider. No significant signals are observed in any of the studied modes, and the 90% credibility level upper limits on their product branching fractions in $\mathrm{\Upsilon }(1S)$ and $\mathrm{\Upsilon }(2S)$ decays [$\mathcal{B}(\mathrm{\Upsilon }(1S,2S)\to Z_c^{+}{Z}_c^{(\prime )-})\times \mathcal{B}(Z_c^{+}\to {\pi }^{+}+c\overline{c})$ ($c\overline{c}=J/\psi$, ${\chi }_{c1}(1P)$, $\psi (2S)$)] and the product of Born cross section and branching fraction for $e^{+}{e}^{-}\to Z_c^{+}{Z}_c^{(\prime )-}$ ($\sigma (e^{+}{e}^{-}\to Z_c^{+}{Z}_c^{(\prime )-})\times \mathcal{B}(Z_c^{+}\to {\pi }^{+}+c\overline{c})$) at $\sqrt{s}=10.52$, 10.58, and 10.867 GeV are determined. Here, $Z_c$ refers to the $Z_c(3900)$ and $Z_c(4200)$ observed in the $\pi J/\psi$ final state, the $Z_{c1}(4050)$ and $Z_{c2}(4250)$ in the $\pi {\chi }_{c1}(1P)$ final state, and the $Z_c(4050)$ and $Z_c(4430)$ in the $\pi \psi (2S)$ final state.

• Received 6 May 2018

DOI:https://doi.org/10.1103/PhysRevD.97.112004

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Published by the American Physical Society