Radial density (left panel) and scattering rate (right panel) profiles at t = 1 Gyr for three SIDM runs with different DM scattering cross-sections: σ_DM/m_X = 0,  1, and 10cm² gr⁻¹. The tests were carried out for a NFW DM halo with M₂₀₀ = 1.3 ⋅ 10¹⁵M_⊙ and R₂₀₀ = 1.63 Mpc, initially at equilibrium. In the left panel we also show the density profile of a run without SIDM, σ_DM/m_X = 0, at t = 0 (dash black line) and at t = 1 Gyr (solid black line). The solid blue line is the NFW theoretical profile.