1-8 Surface Density of Haloes

In study of dark matter density distributions,there are three types of dark matter halo distributions of galaxies and clusters of galaxies.The NFW(Navarro-Frenk-White)profile[1]ρ(r)NFW=ρ0/(r/rr0)(1+(r/rs))^2(1),whereρ0 and rs are paramenters from halo to halo.The Burkert profile isρ(r)Burkert=ρ0/(1+r/r0)(1+(r/r0)^2),and isothermal profileρ(r)ISO=ρ0/(1+(r/rs))^2,whereρ0,r0 is the center density and radius of dark matter halos.The curves of(1),(2)and(3)are shown in Fig.1.Fig.1 shows that there exist the cored density profile and cuspy problem in the Burkert profile,Quasi ISo profile and NFW profile.