  In the past decades, the \gamma-decay of giant resonances has been studied
using phenomenological models. In keeping with possible future studies
performed with exotic beams, microscopically-based frameworks should be
envisaged. In the present paper, we introduce a model which is entirely based
on Skyrme effective interactions, and treats the ground-state decay within the
fully self-consistent Random Phase Approximation (RPA) and the decay to
low-lying states at the lowest order beyond RPA. The model is applied to 208Pb
and 90Zr, and the results are compared with experimental data.
