The observed absence of a cuspy halo in the centers of galaxies implies a certain mechanism, which scatter DM. As this mechanism is considered annihilation of galactic antineutrino DM and neutrino DM of stellar origin. Annihilation intensity increases towards the center with increasing concentration of stars and density of DM, however, the scattering effect of annihilation begins to manifest mainly in the bulge. Based on such a hysteresis of scattering effect, we make up a two-level mass model of the Milky Way, where the mass distribution is regulated at two levels of concentration by one and the same law of decreasing density, inversely proportional to the distance from the center of power of 2.5. The first level starts from the surface of the central neutron collapsar and ends at the border of the bulge, and the second level extends from the bulge to the edge of the Galaxy.