We study how the internal structure of dark halos is affected if Cold Dark Matter particles are assumed to have a large cross-section for elastic collisions. We identify a cluster halo in a large cosmological N-body simulation and resimulate its formation with progressively increasing resolution. We compare the structure found in the two cases where dark matter is treated as collisionless or as a fluid. For the collisionless case our results agree with those of other workers. Collisional dark matter results in a cluster which is more nearly spherical and has a more singular central density profile. Substructure within the cluster is only weakly suppressed relative to the collisionless case. The observed structure of dwarf galaxies argues against self-interacting dark matter if, as seems likely, intermediate cross-sections produce structure lying between the extremes we have simulated.

Revised, Figure3 replaced. ApJLetters in press