Modelling Observational Constraints for Dark Matter Halos

Abstract: Observations show that the underlying rotation curves at intermediate radii in spiral and low-surface brightness galaxies are nearly universal. Further, in these same galaxies, the product of the central density and the core radius ($\rho_{0}r_{0}$) is constant. An empirically motivated model for dark matter halos which incorporates these observational constraints is presented and shown to be in accord with the observations. A model fit to the observations of the galaxy cluster Abell 611 shows that $\rho_{0}r_{0}$ for the dark matter halo in this more massive structure is larger by a factor of $\sim 20$ over that assumed for the galaxies. The model maintains the successful NFW form in the outer regions although the well defined differences in the inner regions suggest that modifications to the standard CDM picture are required.