Scaling relations for dark matter core density and radius from Chandra X-ray cluster sample

Gopika K.; Shantanu Desai

doi:10.1016/j.dark.2020.100707

paper

Scaling relations for dark matter core density and radius from Chandra X-ray cluster sample

arXiv:2006.12320 · doi:10.1016/j.dark.2020.100707

Abstract

A large number of studies have found that the dark matter surface density, given by the product of the dark matter core radius ( $r_{c}$ ) and core density ( $ρ_{c}$ ) is approximately constant for a wide range of galaxy systems. However, there has been only one systematic study of this {\it ansatz} for galaxy clusters by Chan (arXiv:1403.4352), who found that the surface density for clusters is not constant and $ρ_{c} \sim r_{c}^{- 1.46}$ . We carry out this test for an X-ray sample of 12 relaxed clusters from Chandra observations, implementing the same procedure as Chan, but also accounting for the gas and star mass. We find that $ρ_{c} \propto r_{c}^{- 1.08 \pm 0.055}$ , with an intrinsic scatter of about 18%. Therefore, the dark matter surface density for our cluster data shows deviations from a constant value at only about 1.4 $σ$ .

12 pages, 2 figues

Scaling relations for dark matter core density and radius from Chandra X-ray cluster sample

Abstract

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