Self-Interacting Dark Matter and the Excess of Small-Scale Gravitational Lenses

Recently, Meneghetti et al. reported an excess of small-scale gravitational lenses in galaxy clusters, compared to simulations of standard cold dark matter (CDM). We propose a self-interacting dark matter (SIDM) scenario, where a population of subhalos in the clusters experiences gravothermal collapse. Using controlled N-body simulations, we show the presence of early-type galaxies in substructures accelerates gravothermal evolution and a collapsed SIDM subhalo has a steeper density profile than its CDM counterpart, leading to a larger radial galaxy-galaxy strong lensing cross section and more lens images, in better agreement with the observations. Our results indicate that strong gravitational lensing can provide a promising test of the self-interacting nature of dark matter.