Extracting the Ω- electric quadrupole moment from lattice QCD data

The Omega(-) has an extremely long lifetime, and is the most stable of the baryons with spin 3/2. Therefore the Omega(-) magnetic moment is very accurately known. Nevertheless, its electric quadrupole moment was never measured, although estimates exist in different formalisms. In principle, lattice QCD simulations provide at present the most appropriate way to estimate the Omega(-) form factors, as function of the square of the transferred four-momentum, Q(2), since it describes baryon systems at the physical mass for the strange quark. However, lattice QCD form factors, and in particular G(E2), are determined at finite Q(2) only, and the extraction of the electric quadrupole moment, Q(Omega-) = G(E2)(0) e/2M(Omega) , involves an extrapolation of the numerical lattice results. In this work, we reproduce the lattice QCD data with a covariant spectator quark model for Omega(-) which includes a mixture of S and two D states for the relative quark-diquark motion. Once the model is calibrated, it is used to determine Q(Omega-). Our prediction is Q(Omega-)(0.96 +/- 0.02) x 10(-2) efm(2) [G(E2)(0) 0.680 +/- 0.012].