Major Mergers between Dark Matter Haloes -- I: Predictions for Size, Shape and Spin

Nicole E. Drakos, James E. Taylor, Anael Berrouet, Aaron S. G. Robotham, Chris Power

Published 2018-11-30Version 1

The structural properties of individual dark matter halos, including shape, spin, concentration and substructure, are linked to the halo's growth history, but the exact connection between the two is unclear. One open question, in particular, is the effect of major mergers on halo structure. We have performed a large set of simulations of binary mergers between isolated, truncated halos with various density profiles, to map out the relationship between the initial conditions and merger parameters and the structure of the final remnant. In this paper we describe our initial setup and analysis methods, and report on the results for the size, shape and spin of the merger remnant. The outcomes of mergers are most easily understood in terms of a scaled dimensionless energy parameter $\kappa$ and an angular momentum (or spin) parameter $\lambda$. We find that the axis ratio $c/a$ scales roughly linearly with energy $\kappa$, while the axis ratio $b/a$ scales linearly with spin $\lambda$. Qualitatively, mergers on radial orbits produce prolate remnants, while mergers on tangential orbits produce oblate remnants. The spin of the remnant can be predicted from angular momentum conservation, while the overall size changes as $\sim \kappa^{-5}$, as expected from self-similar scaling at constant mean density. We discuss potential cosmological applications for these simple patterns.