  We treat the two-particle Green's function in the Hubbard model using the
recently developed tau-CPA, a hybrid treatment that applies the
coherent-potential approximation (CPA) up to a time tau related to the inverse
of the band width, after which the system is averaged using the virtual-crystal
approximation (VCA). This model, with suitable approximations, does predict
magnetism for a modified Stoner criterion. The evaluation of the two-particle
propagator in the tau-CPA requires the solution of the pure CPA, within whose
formalism the vertex correction and the weighted Green's functions are
obtained. The dynamical susceptibility, including the vertex correction and the
weighted scattering by the residual interaction, is calculated and shows a spin
wave spectrum in the ferromagnetic regime.
