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

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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 rmin ~ 0.1 pc to very large distance rmax ~ 5 Mpc. The predicted density distribution as well as the local density of the dark matter ϱsolar ~ 0.3 GeV/cm3 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 (Eγ>100 MeV) and radio flux from the galactic center. Comparison with the observations puts the following lower limits on the neutralino mass: mχ>40-60 GeV from gamma-ray observations and mχ>200-300 GeV from radio observation (the latter limit should be considered as a rough estimate).

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