Table 1: The values of the parameters $\beta $ and $\epsilon _{\rm eff}$ (see Eq. (2.3)) for two different photon energy distributions.
Photon distribution $\beta $ $\epsilon _{\rm eff}$

Planck, temperature T
-3/2 $2.8kT/m_{\rm e}c^2$
power law, $\alpha_0<-0.5$ -3/2 $\epsilon_{\rm0, max}$
power law, $-0.5 < \alpha_0 < 1$ $\alpha_0-1$ $\epsilon_{\rm0, max}$
power law, $\alpha_0>1$ -3/2 $\epsilon_{\rm0, min}$


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