The initial Lorentz factors of fireballs inferred from the early X-ray data of SWIFT GRBs

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Table 3:

GRB sample.
GRB	z^a	$E_{\gamma}$ (10⁵² erg)^b	$T_{90}\rm (s)^c$	$t_{\rm p}(\rm s)$	medium type	$\Gamma_0^d$	References
060801	1.131	0.55	0.5	110	ISM	280	1, 2, 3
060926	3.208	1.0	8.0	430	ISM	234	4, 2, 5
080319C	1.95	6.13	34	360	ISM	274	6, 7
080413B	1.1	1.53	8.0	167	ISM	271	8, 9

References: 1 Cucchiara et al. (2006); 2 Butler et al. (2007); 3 Sato et al. (2006); 4 D'Elia et al. (2006); 5 Cummings et al. (2006); 6 Wiersema et al. (2008); 7 Stamatikos et al. (2008a); 8 Vreeswijk et al. (2008); 9 Barthelmy et al. (2008); ^a redshift of GRB; ^b isotropic equivalent energy of prompt $\gamma$ -ray emission (1-10⁴ keV in the burst frame for bursts with defined redshift to consistent with the catalog in Butler et al. 2007); ^c time duration of GRB; ^d the calculated initial Lorentz factor of fireballs (assuming $n=1~\rm cm^{-3}$ for ISM case).

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