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Home All issues Volume 498 / No 2 (May I 2009) A&A, 498 2 (2009) 361-378 Full HTML
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Table 2:

Observed bolometric X-ray luminosity scaling relations.
Relation Fitting method
  BCES (Y|X) BCES Orthogonal
  C (1044 erg s-1) $\alpha$ $\sigma_{\rm ln~L, intrinsic}$ C (1044 erg s-1) $\alpha$ $\sigma_{\rm ln~L, intrinsic}$
  R < R500
All            
L1-T1 $6.07\pm0.58$ $2.70\pm0.24$ $0.663\pm0.116$ $7.13\pm1.03$ $3.35\pm0.32$ $0.733\pm0.135$
L1-T3 $5.62\pm0.46$ $2.88\pm0.23$ $0.525\pm0.097$ $6.27\pm0.67$ $3.42\pm0.27$ $0.560\pm0.115$
L1-$Y_{\rm X}$ $5.20\pm0.36$ $0.99\pm0.05$ $0.384\pm0.060$ $5.35\pm0.38$ $1.04\pm0.06$ $0.383\pm0.061$
L1-MY $1.81\pm0.13$ $1.81\pm0.10$ a... $1.74\pm0.13$ $1.96\pm 0.11$ a...
L1-MY MBb $1.45\pm0.12$ $1.90\pm0.11$ a... $1.38\pm0.12$ $2.08\pm 0.13$ a...
Cool core            
L1-T1 $11.15\pm2.42$ $2.71\pm0.48$ $0.432\pm0.108$ $12.79\pm3.80$ $3.15\pm0.63$ $0.479\pm0.135$
L1-$Y_{\rm X}$ $7.71\pm0.58$ $1.04\pm0.07$ $0.234\pm0.103$ $7.84\pm0.65$ $1.06\pm0.09$ $0.236\pm0.107$
Non-cool core            
L1-T1 $4.78\pm0.29$ $2.89\pm0.21$ $0.267\pm0.058$ $4.97\pm0.29$ $3.06\pm0.19$ $0.285\pm0.068$
L1-$Y_{\rm X}$ $4.27\pm0.20$ $0.96\pm0.05$ $0.214\pm0.035$ $4.32\pm0.20$ $0.98\pm0.05$ $0.214\pm0.036$
Disturbed            
L1-T1 $4.18\pm0.59$ $2.49\pm0.56$ $0.497\pm0.215$ $5.43\pm2.74$ $3.19\pm0.78$ $0.646\pm0.346$
L1-$Y_{\rm X}$ $3.72\pm0.27$ $0.92\pm0.09$ $0.245\pm0.120$ $3.85\pm0.32$ $0.96\pm0.08$ $0.249\pm0.123$
Regular            
L1-T1 $7.26\pm0.86$ $2.62\pm0.21$ $0.578\pm0.118$ $7.97\pm1.28$ $3.13\pm0.33$ $0.634\pm0.142$
L1-$Y_{\rm X}$ $6.15\pm0.42$ $0.97\pm0.05$ $0.302\pm0.058$ $6.21\pm0.44$ $1.00\pm0.05$ $0.303\pm0.059$
  0.15 < R < R500
All            
L2-T2 $3.89\pm0.18$ $2.78\pm0.13$ $0.269\pm0.055$ $4.06\pm0.22$ $2.94\pm0.15$ $0.279\pm0.059$
L2-T3 $3.31\pm0.16$ $2.84\pm0.17$ $0.331\pm0.068$ $3.48\pm0.21$ $3.07\pm0.18$ $0.346\pm0.075$
L2-$Y_{\rm X}$ $3.05\pm0.07$ $0.97\pm0.03$ $0.156\pm0.038$ $3.06\pm0.07$ $0.98\pm0.03$ $0.156\pm0.038$
L2-MY $1.09\pm 0.05$ $1.77\pm0.05$ a... $1.08\pm0.04$ $1.80\pm 0.05$ a...
Cool core            
L2-T2 $4.31\pm0.42$ $2.58\pm0.23$ $0.242\pm0.110$ $4.46\pm0.56$ $2.70\pm0.26$ $0.247\pm0.113$
L2-$Y_{\rm X}$ $3.36\pm0.16$ $0.96\pm0.04$ $0.144\pm0.098$ $3.38\pm0.17$ $0.97\pm0.05$ $0.145\pm0.098$
Non-cool core            
L2-T2 $3.74\pm0.21$ $2.89\pm0.18$ $0.231\pm0.035$ $3.88\pm0.22$ $3.02\pm0.19$ $0.237\pm0.039$
L2-$Y_{\rm X}$ $2.91\pm0.06$ $0.97\pm0.03$ $0.114\pm0.027$ $2.92\pm0.06$ $0.98\pm0.03$ $0.114\pm0.027$
Disturbed            
L2-T2 $3.58\pm0.41$ $2.88\pm0.37$ $0.295\pm0.080$ $4.00\pm0.73$ $3.18\pm0.38$ $0.312\pm0.090$
L2-$Y_{\rm X}$ $2.77\pm0.07$ $0.99\pm0.04$ $0.111\pm0.096$ $2.79\pm0.08$ $0.99\pm0.04$ $0.111\pm0.096$
Regular            
L2-T2 $4.13\pm0.21$ $2.68\pm0.11$ $0.225\pm0.070$ $4.20\pm0.23$ $2.76\pm0.11$ $0.231\pm0.075$
L2-$Y_{\rm X}$ $3.24\pm0.08$ $0.94\pm0.02$ $0.115\pm0.045$ $3.24\pm0.08$ $0.94\pm0.02$ $0.115\pm0.045$
Each set of observables (L,A) is fitted with a power law relation of the form $h(z)^n L = C~ (A/A_0)^{\alpha}$, with A0 = 5 keV, $2 \times 10^{14}~M_{\odot}$ keV and $2 \times 10^{14}~M_{\odot}$, and n= -1, -9/5 and -7/3 for T, $Y_{\rm X}$ and M, respectively. Results are given for the BCES (Y|X) and BCES orthogonal fitting methods (see Sect. 2.4). a Since M is derived from $Y_{\rm X}$, the values of the scatter in the L-M relation are identical to those for the $L{-}Y_{\rm X}$ relation; b corrected for Malmquist bias (see Appendix B). L1/T1: luminosity/temperature interior to R500; L2/T2: luminosity/temperature in the [0.15-1] R500 aperture; T3: temperature in the [0.15-0.75] R500 aperture; MY: mass measured from the $M_{500}{-}Y_{\rm X}$ relation of Arnaud et al. (2007).

Source LaTeX | All tables | In the text

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