Measurement of the cross section of ${e}^{+}{e}^{-}\to {\Xi }^{-}{\overline{\Xi }}^{+}$ at center-of-mass energies between 3.510 and 4.843 GeV

Using e + e − collision data corresponding to a total integrated luminosity of 12.9 fb −1 collected with the BESIII detector at the BEPCII collider, the exclusive Born cross sections and the effective form factors of the reaction ${e}^{+}{e}^{-}\to {\Xi }^{-}{\overline{\Xi }}^{+}$ are measured via the single baryon-tag method at 23 center-of-mass energies between 3.510 and 4.843 GeV. Evidence for the decay $\psi \left(3770\right)\to {\Xi }^{-}{\overline{\Xi }}^{+}$ is observed with a significance of 4.5σ by analyzing the measured cross sections together with earlier BESIII results. For the other charmonium(-like) states ψ(4040), ψ(4160), Y(4230), Y(4360), ψ(4415), and Y(4660), no significant signal of their decay to ${\Xi }^{-}{\overline{\Xi }}^{+}$ is found. For these states, upper limits of the products of the branching fraction and the electronic partial width at the 90% confidence level are provided.