Three SIDM models with differing velocity dependency. The top panel shows the cross section as a function of the relative velocity of particles, which is constant for the “SIDM C” (light blue) model and instead has a steep dependence on velocity in “SIDM S” (green) and “SIDM T” (orange). The bottom panel shows the DM density profile at z = 0 of the halo in the DM-only run. In this work, we will study the effects of the “SIDM S” (green) model and its interaction with baryonic physics in more detail.