Can One-Population Density Profile Reduce The Tension Between Rotation Curve Data And Strong Lensing Statistics?

The cosmological hydra-dynamic Evolution and Assembly of Galaxies and their Environment simulation introduces a density distribution of haloes with mass range from dwarf galaxies to galaxy clusters. It can match the observations of rotation curves, e.g. Spitzer Photometry and Accurate Rotation Curves, but fails to satisfy the current strong gravitational lensing statistics. In this paper, we investigate a more general density profile in order to reduce the tension between the two kinds of probes. Specifically, we employ a double power-law profile with the parameters of (alpha, beta, gamma). We found its best-fitting parameters (3.04, 1.39, 1.88), based on strong lensing statistics, e.g. Sloan Digital Sky Survey Quasar Lens Search. Our profile can better match the data at large separation angle than NFW profile. On the other hand, the rotation curves predicted by the best-fitting parameter are much lower than the simulations. For only gamma <= 1.5, can there exist reasonable parameters values to describe the rotation curve observations. Considering the sensitivity of inner slope gamma for strong lensing observations, gamma = 1.88 is the lower limit if the galaxy can be lensed. It is still difficult to reconcile the contradictions between the observations for rotation curves and strong gravitational lensing, even with a much more general form of density profile.