Measurement of Born Cross Sections and Effective Form Factors of $e^+e^-\to \Omega^{-}\bar{\Omega}^{+}$ from$\sqrt{s}$ = 3.7 to 4.7 GeV
Using $e^+e^-$ collision data corresponding to an integrated luminosity of 22.7 fb$^{-1}$, collected at center-of-mass energies between 3.7 and 4.7 GeV with the BESIII detector at the BEPCII storage ring, we measure the energy-dependent Born cross sections of $e^+e^-\to \Omega^{-}\bar{\Omega}^+$ and the effective form factors of the $\Omega^-$ baryon. The analysis employs a single baryon tagging method, and the results are consistent with theoretical predictions, providing critical constraints on the electromagnetic structure of the $\Omega^-$ hyperon. No significant signal of charmonium or charmonium-like states decaying to $\Omega^{-}\bar{\Omega}^+$ is observed in the investigated energy range.