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Table 3

Fit results using the functions defined in Sect. 4.2, obtained separately for the CC and NCC cluster sample, by fixing a = 0.045 and by alternately freezing each one of the other free parameters, except the normalization A.

Fit function χ2/d.o.f. A α 0 ξ 0 b β 0

CC Eq. (3) (α0 = 1.9) 56.1/28 1.17 ± 0.12 0.61 ± 0.15 0.33 ± 0.37 0.35 ± 0.40
Eq. (3) (ξ0 = 0.45) 55.8/28 1.30 ± 0.05 1.14 ± 0.59 0.28 ± 0.26 0.35 ± 0.32
Eq. (3) (b = 0.6) 57.0/28 1.13 ± 0.17 1.89 ± 2.76 0.65 ± 0.28 0.72 ± 0.29
Eq. (3) (β0 = 0.45) 55.8/29 1.88 ± 0.07 0.41 ± 0.16 0a 0.30 ± 0.07

NCC Eq. (3) (α0 = 1.9) 35.2/36 1.24 ± 0.12 0.94 ± 0.24 0.28 ± 0.17 0.29 ± 0.12
Eq. (3) (ξ0 = 0.45) 35.2/36 1.65 ± 0.09 0.18 ± 0.66 0.26 ± 0.19 0.30 ± 0.10
Eq. (3) (b = 0.6) 37.0/36 1.17 ± 0.04 0a 0.94 ± 0.13 0.62 ± 0.08
Eq. (3) (β0 = 0.45) 35.4/36 1.20 ± 0.04 unconstr . 0.91 ± 0.12 0.44 ± 0.05

Notes. The parameter α0 defines the inner slope, ξ0 defines the relative normalization between the inner and outer regions of the profiles, b defines the core radius of the external regions, while β0 defines the outer slope.

(a)

Parameter frozen by the fit.

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