Measurement of the Born cross section for $ {e}^{+}{e}^{-}\to \eta {h}_{c}$ at center-of-mass energies between 4.1 and 4.6 GeV

We measure the Born cross section for the reaction $ {e}^{+}{e}^{-}\to \eta {h}_{c}$ from $ \sqrt{s}=4.129$ to 4.600 GeV using datasets collected by the BESIII detector running at the BEPCII collider. A resonant structure in the cross-section line shape near 4.200 GeV is observed with a statistical significance of $ 7\sigma $. The parameters of this resonance are measured to be $ M=4188.8\pm 4.7\pm 8.0\text{}\text{}\mathrm{MeV}/{c}^{2}$ and $ \Gamma =49\pm 16\pm 19\text{}\text{}\mathrm{MeV}$, where the first uncertainties are statistical and the second systematic.