CODEX: Role of velocity substructure in the scaling relations of galaxy clusters

Open Access

Table 2.

Summary of regression analysis for velocity dispersion obtained using the gapper method vs. the richness scaling relation ln(σ_v km⁻¹ s) = α + βln(λE_z/47.2)+N(0, σ) for the SCGF sample.

Sample	Intercept α	Slope β	Intrinsic scatter σ	N clusters
Full	6.461 ± 0.016	0.365 ± 0.029	0.138 ± 0.017	530
Gaussian	6.446 ± 0.017	0.370 ± 0.030	0.095 ± 0.021	432
Non-Gaussian	6.524 ± 0.047	0.351 ± 0.089	0.231 ± 0.040	98
Full λ ≥ 47.2	6.451 ± 0.037	0.381 ± 0.062	0.137 ± 0.023	298
Full λ < 47.2	6.460 ± 0.040	0.358 ± 0.090	0.143 ± 0.028	232
Gaussian λ ≥ 47.2	6.438 ± 0.034	0.378 ± 0.054	0.081 ± 0.029	245
Gaussian λ < 47.2	6.460 ± 0.043	0.405 ± 0.097	0.118 ± 0.034	187
Non-Gaussian λ ≥ 47.2	6.491 ± 0.125	0.426 ± 0.220	0.246 ± 0.058	53
Non-Gaussian λ < 47.2	6.481 ± 0.097	0.243 ± 0.210	0.221 ± 0.065	45
0.05 < α_AD ≤ 0.15	6.456 ± 0.029	0.307 ± 0.051	0.132 ± 0.034	73
α_AD > 0.15	6.442 ± 0.012	0.383 ± 0.022	0.087 ± 0.017	359
Δθ/R_200c ≥ 0.3	6.497 ± 0.022	0.294 ± 0.046	0.153 ± 0.023	131
Δθ/R_200c < 0.3	6.447 ± 0.012	0.384 ± 0.022	0.131 ± 0.014	399
z ≥ 0.3	6.560 ± 0.162	0.238 ± 0.163	0.077 ± 0.062	45
0.15 ≤ z < 0.3	6.450 ± 0.045	0.394 ± 0.080	0.067 ± 0.045	136
z < 0.15	6.460 ± 0.021	0.372 ± 0.045	0.164 ± 0.020	329
Gaussian z ≥ 0.3	6.567 ± 0.176	0.235 ± 0.177	0.089 ± 0.072	39
Gaussian 0.15 ≤ z < 0.3	6.456 ± 0.048	0.378 ± 0.093	0.064 ± 0.050	130
Gaussian z < 0.15	6.439 ± 0.021	0.367 ± 0.045	0.111 ± 0.027	263

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