Search for $1^{-+}$ charmonium-like hybrid via $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }^{(\prime )}\hat{I}{\cdot }_c$ at center-of-mass energies between 4.258 and 4.681 GeV

Abstract

Using $e^{+}{e}^{-}$ collision data corresponding to an integrated luminosity of 10.6 fb${}^{-1}$ collected at center-of-mass energies between 4.258 and 4.681 GeV with the BESIII detector at the BEPCII collider, we search for the $1^{-+}$ charmonium-like hybrid via $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}\cdot \hat{I}{\cdot }_c$ and $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }^{\prime }\hat{I}{\cdot }_c$ decays for the first time. No significant signal is observed and the upper limits on the Born cross sections for both processes are set at the 90% confidence level.