A quantitative study of interacting dark matter in halos

We study the evolution of Hernquist profile galaxies in the presence of self-interacting dark matter (SIDM), where the properties of the dark matter can be parameterized by one number, <()over cap>(DM) = sigma M-DM(T)/a(2), for a halo of mass M-T and break radius a. While the halos form constant-density cores of size similar toa/2 on the core-radius relaxation timescale (t(rc) similar or equal to 1.7t(dyn)/<()over cap>(DM)), core collapse begins shortly thereafter, and a steeper 1/r(2) central density cusp starts forming faster than predicted by two-body relaxation. The formation of the steeper central cusp is accelerated if the cooling baryons adiabatically compress the dark matter. The natural consequence of SIDM is to exacerbate rather than to mitigate astrophysical problems created by dark matter density cusps.