Cross section measurement of $e^{+}{e}^{-}\to \eta \psi (2S)$ and search for $e^{+}{e}^{-}\to \eta \tilde{X}(3872)$

The energy-dependent cross section for $e^{+}{e}^{-}\to \eta \psi (2S)$ is measured at eighteen center of mass energies from 4.288 GeV to 4.951 GeV using the BESIII detector. Using the same data samples, we also perform the first search for the reaction $e^{+}{e}^{-}\to \eta \tilde{X}(3872)$, but no evidence is found for the $\tilde{X}(3872)$ in the ${\pi }^{+}{\pi }^{-}J\mathrm{/}\psi$ mass distribution. At each of the eighteen center of mass energies, upper limits at the 90% confidence level on the cross section for $e^{+}{e}^{-}\to \eta \psi (2S)$ and on the product of the $e^{+}{e}^{-}\to \eta \tilde{X}(3872)$ cross section with the branching fraction of $\tilde{X}(3872)\to {\pi }^{+}{\pi }^{-}J\mathrm{/}\psi$ are reported.