Search for the Reaction Channel E+e−→ηcηπ+π− at Center-of-mass Energies from 4.23 to 4.…

Using data collected with the BESIII detector operating at the Beijing Electron Positron Collider, we search for the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}\ensuremath{\eta}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. The search is performed using five large datasets recorded at center-of-mass energies of 4.23, 4.26, 4.36, 4.42, and 4.60 GeV. The ${\ensuremath{\eta}}_{c}$ meson is reconstructed in 16 exclusive decay modes. No signal is observed in the ${\ensuremath{\eta}}_{c}$ mass region at any center-of-mass energy. The upper limits on the reaction cross sections are determined to be 6.2, 10.8, 27.6, 22.6 and 23.7 pb at the 90% confidence level at the center-of-mass energies listed above.