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Table 1:

MLE fits to the radial distribution of the stacked halo.

Model
$r_{\rm max}$ $100~\hat\nu_{\rm bg}$ c $P_{\rm KS}$

NFW
1 0 4.08 $\pm $ 0.05 $\pm $ 0.17 0.0021
NFW 1 (0.036) 4.10 $\pm $ 0.05 $\pm $ 0.17 0.0023
NFW 1 0.416 4.26 $\pm $ 0.07 $\pm $ 0.23 0.0069
Einasto 1 0 4.00 $\pm $ 0.05 $\pm $ 0.17 0.31
Einasto 1 (0.036) 4.02 $\pm $ 0.05 $\pm $ 0.17 0.3
Einasto 1 0.002 4.00 $\pm $ 0.07 $\pm $ 0.20 0.31
NFW 1.35 0 4.20 $\pm $ 0.05 $\pm $ 0.14 0.0023
NFW 1.35 (0.036) 4.23 $\pm $ 0.05 $\pm $ 0.14 0.0021
NFW 1.35 0.002 4.20 $\pm $ 0.04 $\pm $ 0.15 0.002
Einasto 1.35 0 4.14 $\pm $ 0.04 $\pm $ 0.13 0.016
Einasto 1.35 (0.036) 4.17 $\pm $ 0.04 $\pm $ 0.13 0.0058
Einasto 1.35 0.002 4.14 $\pm $ 0.04 $\pm $ 0.14 0.015
NFW 3 0 4.80 $\pm $ 0.04 $\pm $ 0.24 0
NFW 3 (0.036) 5.01 $\pm $ 0.04 $\pm $ 0.24 0
NFW 3 0.001 4.80 $\pm $ 0.03 $\pm $ 0.19 0
Einasto 3 0 4.26 $\pm $ 0.03 $\pm $ 0.22 <10-15
Einasto 3 (0.036) 4.50 $\pm $ 0.03 $\pm $ 0.23 <10-10
Einasto 3 0.042 4.54 $\pm $ 0.04 $\pm $ 0.13 <10-11

Notes. The Einasto models are for index m=5. Column (2) is the maximum radius for the fits (the minimum radius is set to 0.03 r200). Columns (3) and (4) are respectively the background density (multiplied by 100, fixed if in parentheses) and concentration, while Col. (5) is the Kolmogorov-Smirnov test probability that the model is consistent with the distribution of radii. Virial units (with $\Delta =200$) are used for $r_{\rm max}$ and $\hat\nu_{\rm
bg}$ (r200 and N200/r2002, respectively), while c=r200/r-2, where r-2 is the radius of density slope equal to -2. The outer radius of 1.35 r200 corresponds to the virial radius, r100. Errors are $1\sigma$: the first are the statistical errors from likelihood ratios and the second are from cosmic variance using 100 cluster bootstraps. Concentrations in bold face are those providing the highest $P_{\rm KS}$tests for given $r_{\rm max}$.


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