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

## TL;DR

This study uses cosmological simulations to examine how self-interacting dark matter influences cluster density profiles and subhalo distributions, revealing potential for current and future lensing data to constrain dark matter properties.

## Contribution

It introduces detailed simulations of velocity- and angle-dependent dark matter self-interactions and analyzes their effects on cluster structures and subhalo distributions.

## Key findings

- Self-interactions modify cluster core density profiles.
- Subhalo counts and splashback radius are significantly affected.
- Current lensing data can constrain self-interaction cross-sections close to Bullet Cluster limits.

## Abstract

Non-gravitational interactions between dark matter particles with strong scattering, but relatively small annihilation and dissipation, has been proposed to match various observables on cluster and group scales. In this paper, we present the results from large cosmological simulations which include the effects of different self-interaction scenarios. In particular we explore a model with the differential cross section that can depend on both the relative velocity of the interacting particles and the angle of scattering. We focus on how quantities, such as the stacked density profiles, subhalo counts and the splashback radius change as a function of different forms of self-interaction. We find that self-interactions not only affect the central region of the cluster, the effect well known from previous studies, but also significantly alter the distribution of subhalos and the density of particles out to the splashback radius. Our results suggest that current weak lensing data can already put constraints on the self-interaction cross-section that are only slightly weaker than the Bullet Cluster constraints ($\sigma/m \lesssim 2$ cm$^2/$g), and future lensing surveys should be able to tighten them even further making halo profiles on cluster scales a competitive probe for DM physics.