Table 4
Fit results using the functions similar to Vikhlinin et al. (2006), defined in Sect. 4.2, obtained by fixing a = 0.045 and by alternately freezing each one of the other free parameters, except the normalization A, which was always left free to vary.
| Fit function | χ2/d.o.f. | A | α 0 | ξ 0 | b | β 0 | η | ζ |
|
|
||||||||
| Eq. (3) (α0 = 1.9) | 107.4/68 | 1.25 ± 0.09 | – | 0.56 ± 0.11 | 0.25 ± 0.13 | 0.28 ± 0.11 | – | – |
| Eq. (3 )(ξ0 = 0.45) | 107.2/68 | 1.35 ± 0.04 | 1.39 ± 0.46 | – | 0.22 ± 0.09 | 0.28 ± 0.10 | – | – |
| Eq. (3) (b = 0.6) | 111.1/68 | 1.13 ± 0.05 | 3.14 ± 2.47 | 0.72 ± 0.10 | – | 0.61 ± 0.10 | – | – |
| Eq. (3) (β0 = 0.45) | 109.2/68 | 1.17 ± 0.10 | 2.45 ± 2.13 | 0.66 ± 0.15 | 0.44 ± 0.08 | – | – | – |
|
|
||||||||
| Eq. (4) (b = 0.4; ξ0 = 0.45; | 109.7/68 | 1.17 ± 0.06 | 4.78 ± 5.62 | – | – | 0.26 ± 0.09 | 0.33 ± 0.18 | – |
| ζ = 0) | ||||||||
| Eq. (4) (b = 0.4; ξ0 = 0.45) | 110.3/67 | 1.48 ± 0.15 | 0.61 ± 0.44 | – | – | 0.64 ± 0.49 | −0.22 ± 0.20 | 0.12 ± 0.39 |
Notes. The meaning of the fit parameters is the same as in Table 3. The parameters η and ζ take into account the dependence of the profiles on the pseudo-entropy ratio σ and on the redshift z, respectively.
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