We search for the process $e^{+}{e}^{-}\to {\chi }_{cJ}{\pi }^{+}{\pi }^{-}$ ($J=0$, 1, 2) and for a charged charmoniumlike state in the ${\chi }_{cJ}{\pi }^{\pm }$ subsystem. The search uses datasets collected with the BESIII detector at the BEPCII storage ring at center-of-mass energies between 4.18 GeV and 4.60 GeV. No significant ${\chi }_{cJ}{\pi }^{+}{\pi }^{-}$ signals are observed at any center-of-mass energy, and thus upper limits are provided which also serve as limits for a possible charmoniumlike structure in the invariant ${\chi }_{cJ}{\pi }^{\pm }$ mass.

• Received 7 December 2020
• Accepted 18 February 2021

DOI:https://doi.org/10.1103/PhysRevD.103.052010

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Published by the American Physical Society