  We discuss on the possibility that colliding dark matter particles in the
form of neutralinos may be gravitationally boosted near the super-massive black
hole at the galactic center so that they can have enough collision energy to
annihilate into a stau pair. Since in some phenomenologically favored
supersymmetric models the mass splitting between the neutralino and the
lightest stau, one of the two scalar superpartners of the tau lepton, is a few
GeVs, this channel may be allowed. In addition, staus can only decay into a tau
lepton and another neutralino. We calculate the gamma-ray spectrum and flux
generated by the tau pair discussing the observability of the obtained
features.
