https://arxiv.org/abs/2310.07769
Simulations of galaxy cluster mergers with velocity-dependent, rare and frequent self-interactions
Self-interacting dark matter (SIDM) has been proposed to solve small-scale problems in $Λ$CDM cosmology. In previous work, constraints on the self-interaction cross-section of dark matter have been derived assuming that the self-interaction cross-section is independent of velocity. However, a velocity-dependent cross-section is more natural in most theories of SIDM. Using idealized $N$-body simulations, we study merging clusters, with velocity-dependent SIDM. In addition to the usual rare scattering in the isotropic limit, we also simulate these systems with anisotropic, small-angle (frequent) scatterings. We study the qualitative features of the mergers and we find that the effects of velocity-dependent cross-sections are observed when comparing early-time and late-time oscillation amplitude of the brightest cluster galaxy (BCG). Finally, we also extend the existing upper bounds on the velocity-independent, isotropic self-interaction cross-section to the parameter space of rare and frequent velocity-dependent self-interactions by studying the central densities of dark matter only isolated haloes. For these upper-bound parameters, we find that the offsets just after the first pericentre to be $\leq$ 10 kpc. On the other hand, because of BCG oscillations, we speculate that the distribution of BCG offsets in relaxed cluster to be a statistically viable probe. Therefore, this motivates further studies of BCG off-centering in cosmological simulations.




