2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187902The continuous infall of dark matter with low velocity dispersion from all directions in a galactic halo leads to the formation of caustics which are very small scale ($\sim$parsec) high density structures. If the dark matter is made up of SUSY neutralinos, the annihilation of these particles produces a characteristic spectrum of gamma rays which in principle, could be detected. The annihilation signal at different energy bands is computed and compared with the expected gamma ray background.12 pages, 4 figures, Minor changes - Expanded captions, added references, detection estimates given, accepted for publication in Phys. Rev. DAstrophysicsHigh Energy Physics - Phenomenologytext