Electromagnetic Structure of Ωccc⁺⁺ and Ωbbb⁻ baryons from a covariant three-body Faddeev equation

We investigate the electromagnetic structure of the ground-state Ωccc⁺⁺ and Ωbbb⁻ baryons using a Poincaré-covariant three-body Faddeev equation within the rainbow--ladder truncation. We calculate the complete set of elastic spin-$3/2$ multipole form factors, GE0, GM1, GE2, and GM3. The leading electric and magnetic form factors become markedly harder from the charm to the bottom sector, revealing the substantially more compact electromagnetic structure of the Ωbbb⁻. For Ωccc⁺⁺, the electric form factor and charge radius at low momentum transfer agree well with the available lQCD results. From the magnetic-dipole form factor at zero momentum transfer, GM1(0), we obtain the magnetic moments μ_Ωccc⁺⁺=1.26\,μN and μ_Ωbbb⁻=-0.207\,μN. For GE2 and GM3, the electric-quadrupole structure exhibits a stronger charm-to-bottom evolution than the charge-normalized magnetic-octupole structure. Finally, comparison of the charm and bottom systems shows that both GM1(0) and the relation between the electric and magnetic radii move closer to their leading nonrelativistic heavy-quark expectations as the quark mass increases.