Cross section measurement of e+ e- → ηψ (2S) and search for e+ e- → η(X) over tilde (3872)

The energy-dependent cross section for e(+)e(-) -> eta psi(2S) is measured at 18 center of mass energies from 4.288 to 4.951 GeV using the BESIII detector. Using the same data samples, we also perform the first search for the reaction e(+)e(-) -> eta(X) over tilde(3872), but no evidence is found for the (X) over tilde(3872) in the pi(+)pi(-) J/psi. mass distribution. At each of the 18 center of mass energies, upper limits at the 90% confidence level on the cross section for e(+)e(-) -> eta psi(2S) and on the product of the e(+)e(-) -> eta(X) over tilde(3872) cross section with the branching fraction of (X) over tilde(3872) -> pi(+)pi(-)J/psi are reported.