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Simulations are expected to be the powerful tool to investigate the baryoneffects on dark matter (DM) halos. Recent high resolution, cosmologicalhydrodynamic simulations (\citealt{Cintio14}, DC14) predict that the innerdensity profiles of DM halos depend systematically on the ratio of stellar toDM mass ($M_{\ast}/M_{\rm halo}$) which is thought to be able to provide goodfits to the observed rotation curves of galaxies. The DC14 profile is fittedfrom the simulations which are confined to $M_{\rm halo}\le 10^{12}M_{\sun}$,in order to investigate the physical processes that may affect all halos, weextrapolate it to much larger halo mass, including that of galaxy clusters. Theinner slope of DC14 profile is flat for low halo mass, it approaches 1 when thehalo mass increases towards $10^{12}M_{\sun}$ and decreases rapidly after thatmass. We use DC14 profile for lenses and find that it predicts too few lensescompared with the most recent strong lensing observations SQLS(\citealt{Inada12}). We also calculate the strong lensing probabilities for asimulated density profile which continues the halo mass from the mass end ofDC14 ($\sim 10^{12}M_{\sun}$) to the mass that covers the galaxy clusters(\citealt{Schaller15}, Schaller15), and find that this Schaller15 model predicttoo many lenses compared with other models and SQLS observations.Interestingly, Schaller15 profile has no core, however, like DC14, the rotationcurves of the simulated halos are in excellent agreement with observationaldata. Furthermore, we show that the standard two-population model SIS+NFWcannot match the most recent SQLS observations for large image separations.

Baryon effects on the dark matter halos constrained from strong gravitational lensing