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Non-gravitational interactions between dark matter particles with strongscattering, but relatively small annihilation and dissipation, has beenproposed to match various observables on cluster and group scales. In thispaper, we present the results from large cosmological simulations which includethe effects of different self-interaction scenarios. In particular we explore amodel with the differential cross section that can depend on both the relativevelocity of the interacting particles and the angle of scattering. We focus onhow quantities, such as the stacked density profiles, subhalo counts and thesplashback radius change as a function of different forms of self-interaction.We find that self-interactions not only affect the central region of thecluster, the effect well known from previous studies, but also significantlyalter the distribution of subhalos and the density of particles out to thesplashback radius. Our results suggest that current weak lensing data canalready put constraints on the self-interaction cross-section that are onlyslightly weaker than the Bullet Cluster constraints ($\sigma/m \lesssim 2$cm$^2/$g), and future lensing surveys should be able to tighten them evenfurther making halo profiles on cluster scales a competitive probe for DMphysics.

Signatures of Self-Interacting dark matter on cluster density profile and subhalo distributions