Distribution of dark matter in the galaxy and the lower limits for the masses of supersymmetric particles

Abstract We argue that the non-linear stage of evolution of density fluctuations in a non-dissipative gas results in the formation of a non-dissipative gravitational singularity (NGS) with density distribution ϱ ( r ) ∼ r − α , where α ≈ 1.8. This dependence holds from very small distance r min ∼ 0.1 pc to very large distance r max ∼ 5 Mpc. The predicted density distribution as well as the local density of the dark matter ϱ ⊙ ≈ 0.3 GeV/cm 3 are in good agreement with the observations. Dark matter particle have large space density in NGS and therefore the rate of their annihilation is very high. This point-like source of the radiation is the signature of the NGS model. Assuming that dark matter in our Galaxy is composed mostly of neutralinos (∼70%) we calculate the flux of high energy gamma-radiation ( E γ >100 MeV) and radio flux from the galactic center. Comparison with the observations puts the following lower limits on the neutralino mass: m χ >40–60 GeV from gamma-ray observations and m χ >200–300 GeV from radio observation (the latter limit should be considered as a rough estimate).