  The 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.
