Dark Matter Halos in a Secondary Infall Model

Abstract

We calculate the density profiles of virialized halos in the case of structure evolving hierarchically from a scale-free Gaussian delta-field having a power spectrum $P(k)\propto k^n$ in a Omega=1 Universe; we suppose that the initial density contrast profile around local maxima is given by the mean peak profile introduced by Bardeen et al. (1986 hereafter BBKS). We show both that the density profiles are not power-laws but have a logarithmic slope that increases from the inner halo to its outer parts and for n \geq -1 are well approximated by Navarro et al. (1995, 1996, 1997) profile and the radius a, at which the slope alpha=-2, is a function of the mass of the halo and of the spectral index n.