Table 2.
Lower and upper bounds of the uniform prior distributions of the MCMC parameters γ′IN, γ′OUT, ν⋆, T⋆, Rbreak, log ϵN, log ϵT, upeak, Rpeak, η, and log ϵSZ (common to models both with and without turbulence), and of the parameters log ξ, αinf, and α0 (used only in the model with turbulence).
Parameter | Range |
---|---|
γ′IN | [0.6, 1.6] |
γ′OUT | [0.9, 1.6] |
ν⋆ | [−1.0, 2.0] |
T⋆/keV | [3.0, 18.0] |
Rbreak/kpc | [50, 0.35 (r200median/kpc)] |
log ϵN | [−2.0, 1.7] |
log ϵT | [−2.5, 1.3] |
upeak/(km s−1) | [50, 2000] |
Rpeak/kpc | [50, (rNSZ/kpc)] |
η | [0.3, 1.8] |
log ϵSZ | [−2.5, 1.0] |
log ξ | [−1.5, 0] |
αinf | [0, 0.95] |
α0 | [0, α0,RGS] |
Notes. First column: parameter. Second column: lower and upper bounds of the uniform prior distribution. The upper bound on Rbreak is motivated by the fact that no cluster is known to have cooling radius larger than 0.35r200 (see, e.g., Cavagnolo et al. 2009). Here r200median = 3M200median/[800πρcrit]1/3, where M200median is the median of the prior on M200. The prior distributions of the parameters M200 and c200, not listed here, are defined in Sect. 4.2 and reported in Table 1.
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