Swift observations of the very intense flaring activity of Mrk 421 during 2006. I. Phenomenological picture of electron acceleration and predictions for MeV/GeV emission

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Table 5:

SSC best fit results for 2005 March 31 *Swift* observation and using a log-parabolic electron distribution as defined in Eq. (15).
Date	B	R	$\delta$	N(*)	r	$\gamma_{p}(**)$	$\gamma_{\rm max}$	$\gamma_{\rm min}$	u_e/u_b
	G	cm		$\mbox{cm}^{-3}$
31-03-2005	0.075	$1.5\times10^{15}$	25	4	1.3	$4.0\times10^{3}$	$2.5\times10^{6}$	$1.1\times10^{3}$	220

(*) $N=\int n(\gamma)\rm d\gamma$ .
(**) Do not confuse $\gamma_c$ (the turn-over energy in Eq. (13)) with $\gamma_{\rm p}$ (the peak energy in Eq. (15)).
(***) $\gamma_{\rm p}^{\rm LP}$ represents $\gamma_{\rm p}$ obtained from extrapolating the log-parabolic branch of the distribution described by Eq. (13). These values can be compared with $\gamma_{\rm p}$ from 2005 March 31.

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