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With SDSS galaxy data and halo data from up-to-date N-body simulations weconstruct a semi-empirical catalog (SEC) of early-type systems by making aself-consistent bivariate statistical match of stellar mass (M_star) andvelocity dispersion (sigma) with halo virial mass (M_vir). We then assignstellar mass profile and velocity dispersion profile parameters to each systemin the SEC using their observed correlations with M_star and sigma.Simultaneously, we solve for dark matter density profile of each halo using thespherical Jeans equation. The resulting dark matter density profiles deviate ingeneral from the dissipationless profile of NFW or Einasto and their mean innerdensity slope and concentration vary systematically with M_vir. Statisticaltests of the distribution of profiles at fixed M_vir rule out the nullhypothesis that it follows the distribution predicted by N-body simulations forM_vir ~< 10^{13.5-14.5} M_solar. These dark matter profiles imply that darkmatter density is, on average, enhanced significantly in the inner region ofhalos with M_vir ~< 10^{13.5-14.5} M_solar supporting halo contraction. Themain characteristics of halo contraction are: (1) the mean dark matter densitywithin the effective radius has increased by a factor varying systematically upto ~ 3-4 at M_vir = 10^{12} M_solar, and (2) the inner density slope has a meanof <alpha> ~ 1.3 with rho(r) ~ r^{-alpha} and a halo-to-halo rms scatter ofrms(alpha) ~ 0.4-0.5 for 10^{12} M_solar ~< M_vir ~< 10^{13-14} M_solar steeperthan the NFW profile (alpha=1). Based on our results we predict that halos ofnearby elliptical and lenticular galaxies can, in principle, be promisingtargets for gamma-ray emission from dark matter annihilation.

Semi-empirical catalog of early-type galaxy-halo systems: dark matter density profiles, halo contraction and dark matter annihilation strength