Using data samples with an integrated luminosity of 4.67~fb⁻¹ collected by the BESIII detector operating at the BEPCII collider, we search for the process e⁺e⁻ → η' ψ(2S) at center-of-mass energies from $4.66$ to 4.95~GeV. No significant signal is observed, and upper limits for the Born cross sections σB(e⁺e⁻→η'ψ(2S)) at the 90% confidence level are determined.
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