An improved model for contraction of dark matter haloes in response to condensation of baryons

The cooling of gas in the centres of dark matter haloes is expected to lead to a more concentrated dark matter distribution. The response of dark matter to the condensation of baryons is usually calculated using the model of adiabatic contraction, which assumes spherical symmetry and circular orbits. Following Gnedin et al., we improve this model by modifying the assumed invariant from M ( r ) r to , where r and are the current and orbit‐averaged particle positions. We explore the effect of the bulge in the inner regions of the halo for different values of the bulge‐to‐disc mass ratio. We find that the bulge makes the velocity curve rise faster in the inner regions of the halo. We present an analytical fitting curve that describes the velocity curve of the halo after dissipation. The results should be useful for dark matter detection studies.