We present the solution of the Poincare-covariant Faddeev equation for theDelta(1232) and Omega(1672) baryons. The covariant structure of thecorresponding baryon amplitudes and their decomposition in terms of internalspin and orbital angular momentum is explicitly derived. The interaction kernelis truncated to a rainbow-ladder dressed-gluon exchange such that chiralsymmetry and its dynamical breaking are correctly implemented. The resultingphysical masses agree reasonably with experiment and their evolution with thepion mass compares favorably with lattice calculations. Evidence for thenon-sphericity of the Delta-resonance is discussed as well.
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