Density profiles of galactic dark halos

I propose a modification of the spherical infall model for the evolution of density fluctuations with initially Gaussian probability distribution and scale-free power spectra. I introduce a generalized form of the initial density distribution around an overdense region and cut it off at half the inter-peak separation accounting in this way for the presence of neighbouring fluctuations. Contrary to the original predictions of the model, resulting density profiles within virial radii no longer have power-law dependence on the distance, but are well fitted by the universal formula of changing slope obtained as a result of N-body simulations. The profiles of halos of a given mass are in general flatter than the corresponding ones from the simulations, but the trend of steeper profiles for smaller masses is reproduced. The profiles of galaxy size objects are in general in better agreement with N-body simulations than those of larger ones.