We present complete calculations of the electromagnetic form factors of the Ω ? in the spacelike region and in the timelike region. The four elastic form factors: electric charge ( G E 0 ), magnetic dipole ( G M 1 ), electric quadrupole ( G E 2 ), and magnetic octupole ( G M 3 ), are estimated within the covariant spectator quark model, in terms of the square momentum transfer q 2 . The free parameters of the Ω ? wave function, including a S -wave state and two independent D -wave states radial wave functions and the admixture coefficients, are fixed by the comparison with the lattice QCD data in the spacelike region ( Q 2 = ? q 2 ≤ 0 ) and with the recent e + e ? → Ω ? Ω ˉ + data from CLEO in the timelike region ( q 2 > 0 ). The estimates in the timelike region for square momentum transfer q 2 ≥ 4 M Ω 2 are based on large- q 2 asymptotic relations ( M Ω is the Ω ? mass). We examine also the impact of the large- Q 2 correlations between different form factors and analyze the possible solutions. The electric quadrupole and the magnetic octupole moments of the Ω ? and the e + e ? → Ω ? Ω ˉ + integrated cross sections for very large q 2 are estimated based on the model results.
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