A universal angular momentum profile for dark matter haloes

TL;DR

This paper introduces a universal model for the angular momentum distribution in dark matter haloes, derived from high-resolution simulations, which helps in understanding galaxy formation and matches observed galaxy properties.

Contribution

The paper presents a simple, parameterized universal profile for specific angular momentum in dark matter haloes, validated against simulations and linked to observable galaxy properties.

Findings

The profile fits simulation data well across halo masses.

The parameter $j_s$ scales with halo mass as $M_{vir}^{2/3}$.

The profile aligns with a rigid shell model, suggesting a possible formation mechanism.

Abstract

The angular momentum distribution in dark matter haloes and galaxies is a key ingredient in understanding their formation. Especially, the internal distribution of angular momenta is closely related to the formation of disk galaxies. In this article, we use haloes identified from a high-resolution simulation, the Bolshoi simulation, to study the spatial distribution of specific angular momenta, $j(r,\theta)$. We show that by stacking haloes with similar masses to increase the signal-to-noise ratio, the profile can be fitted as a simple function, $j(r,\theta)=j_s \sin^2(\theta/\theta_s) (r/r_s)^2/(1+r/r_s)^4 $, with three free parameters, $j_s, r_s$, and $\theta_s$. Specifically, $j_s$ correlates with the halo mass $M_\mathrm{vir}$ as $j_s\propto M_\mathrm{vir}^{2/3}$, $r_s$ has a weak dependence on the halo mass as $r_s \propto M_\mathrm{vir}^{0.040}$, and $\theta_s$ is independent of $M_\mathrm{vir}$. This profile agrees with that from a rigid shell model, though its origin is unclear. Our universal specific angular momentum profile $j(r,\theta)$ is useful in modelling haloes' angular momenta. Furthermore, by using an empirical stellar mass - halo mass relation, we can infer the averaged angular momentum distribution of a dark matter halo. The specific angular momentum - stellar mass relation within a halo computed from our profile is shown to share a similar shape as that from the observed disk galaxies.