Measurement of ${e}^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ cross sections at center-of-mass energies between 3.508 and 4.600 GeV

We present a measurement of the dressed cross sections for ${e}^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ at different center-of-mass energies between 3.508 and 4.600 GeV based on $15.1\text{}\text{}{\mathrm{fb}}^{-1}$ of ${e}^{+}{e}^{-}$ annihilation data collected with the BESIII detector operating at the BEPCII collider. In addition, a search for the decay $Y\left(4230\right)\to \varphi {\eta }^{\prime }$ is performed. No clear signal is observed and the corresponding upper limit is provided.