The outer regions of galaxy clusters: Chandra constraints on the X-ray surface brightness

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Table 3:

Best-fit values of the slope of the surface brightness profile in the radial range $[0.2 \times R_{200}, R_{\rm S2N}]$ and $[0.4 \times R_{200}, R_{\rm S2N}]$ . The best-fit results of the first derivative of $S_{\rm b}(r)$ over the entire radial range are indicated as ${\rm d} \ln (S_{\rm b}) / {\rm d} \ln (r/R_{200}) = s_0 +s_1 \ln (r/R_{200})$ and shown in Fig. 2. The predicted slopes from the best-fit results at 0.4, 0.7, and $1 \times R_{200}$ are quoted. In the last two columns, we present the expected surface brightness in the 0.5-2 keV band and the fraction fc₂₀₀ of the clusters counts with respect to the total count rate measured in the 0.5-5 keV at R₂₀₀.
Cluster	Slope		(s₀, s₁)	0.4 R₂₀₀	0.7 R₂₀₀	R₂₀₀	$S_{\rm b} (R_{200})$	fc₂₀₀
	$0.2 R_{200} - R_{\rm S2N}$	$0.4 R_{200} - R_{\rm S2N}$					10^-12 erg/s/cm²/deg²
MS0015.9+1609	$-3.30\pm0.28$	$-3.89\pm0.96$	(-4.41, -1.33)	-3.19	-3.93	-4.41	(1.7,1.7)	0.051
MACSJ2228.5+2036	$-2.74\pm0.29$	$-4.26\pm1.23$	(-4.92, -1.75)	-3.32	-4.30	-4.92	(2.6,2.7)	0.057
MACS0744.9+3927	$-2.73\pm0.31$	$-3.23\pm0.89$	(-3.73, -0.88)	-2.92	-3.41	-3.73	(2.6,2.7)	0.074
MACSJ0417.5-1154	$-3.38\pm0.42$	$-4.53\pm1.27$	(-5.60, -2.02)	-3.75	-4.88	-5.60	(1.6,1.6)	0.034
RXJ1701.3+6414	$-2.39\pm0.27$	$-2.59\pm1.17$	(-4.24, -1.60)	-2.78	-3.67	-4.24	(2.4,2.6)	0.051
MACSJ1720.2+3536	$-3.19\pm0.36$	$-2.40\pm1.32$	(-3.57, -0.77)	-2.87	-3.30	-3.57	(2.5,2.6)	0.059
RXJ1416.4+4446	$-2.74\pm0.37$	$-3.63\pm1.72$	(-3.75, -0.94)	-2.89	-3.41	-3.75	(1.8,1.9)	0.042
MACSJ2129.4-0741	$-2.68\pm0.33$	$-4.16\pm1.74$	(-3.92, -1.13)	-2.88	-3.51	-3.92	(2.4,2.5)	0.060
MACSJ1621.3+3810	$-2.64\pm0.37$	$-3.53\pm1.76$	(-2.99, -0.45)	-2.58	-2.83	-2.99	(3.0,3.2)	0.087
MS0451.6-0305	$-3.94\pm0.45$	$-4.77\pm2.04$	(-5.85, -1.91)	-4.11	-5.17	-5.85	(0.3,0.3)	0.006
MACSJ1206.2-0847	$-3.24\pm0.37$	$-3.67\pm1.64$	(-4.43, -1.16)	-3.37	-4.02	-4.43	(1.4,1.5)	0.032
mean	-2.91	-3.59	(-4.31,-1.27)	-3.15	-3.86	-4.31	(2.0,2.1)	0.050
$\sigma$	0.46	0.75	(0.87,0.50)	0.46	0.70	0.87	(0.8,0.8)	0.022

Source LaTeX | All tables | In the text

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