Table 3
Constraints on the termination-shock radii.
| GRB |
|
|
log Eiso | R T |
| (ks) | (ks) | [erg] | (pc) | |
|
|
||||
| Constant density medium (n(r) ∝ r0) | ||||
| 050801 | 0.31 | 105.70 |
|
< |
| 050820A | 42.71 | 411.00 |
|
< |
| 051109A | 25.87 | 264.60 |
|
< |
| 060418 | 4.40 | 535.80 |
|
< |
| 060512 | 10.50 | 287.50 |
|
< |
| 060614 | 51.59 | 1497.00 |
|
<0.018 ± 0.001 |
| 060714 | 78.49 | 286.10 |
|
< |
| 060908 | 0.92 | 82.14 | 52.82 ± 0.20 | <0.008 ± 0.002 |
| 070802 | 10.90 | 88.78 |
|
< |
| 070810A | 1.95 | 34.41 |
|
< |
| 080710 | 23.10 | 348.50 |
|
<0.02 ± 0.01 |
| 080721 | 29.46 | 1258.00 |
|
<0.17 ± 0.01 |
| 081203A | 12.07 | 301.00 |
|
<0.06 ± 0.01 |
| 090102 | 77.57 | 262.80 | 53.30 ± 0.04 | <0.13 ± 0.01 |
| 090328 | 57.89 | 923.30 | 52.99 ± 0.01 | <0.098 ± 0.001 |
| 090726 | 3.61 | 10.00 |
|
< |
| 090902B | 45.64 | 1168.00 | 54.49 ± 0.01 | <0.383 ± 0.004 |
| 090926A | 325.80 | 1798.00 | 54.27 ± 0.02 | <0.76 ± 0.02 |
| Free stellar wind (n(r) ∝ r-2) | ||||
| 050603 | 39.21 | 196.50 | 53.79 ± 0.01 | >0.305 ± 0.004 |
| 070411 | 92.09 | 522.70 |
|
> |
| 080319B | 52.76 | 555.70 | 54.16 ± 0.01 | >1.11 ± 0.01 |
| 080514B | 37.30 | 174.70 |
|
>0.22 ± 0.01 |
| 080916C | 97.49 | 377.70 |
|
> |
| 090323 | 73.05 | 1079.00 | 54.61 ± 0.01 | >1.68 ± 0.02 |
| Unclear cases | ||||
| 050922C | ... | ... |
|
... |
| 051221A | 25.92 | 228.80 |
|
... |
| 060904B | 3.58 | 162.80 |
|
... |
Notes. Time intervals deduced from the lower panels in Fig. C.1 if the first logarithmic derivative of
Fopt/Fx points to either
an ISM profile or a free wind, i.e., once the asymptotic value +1/4 or −1/4 was
reached (within the error bars). With the exception for GRB 080514B (Rossi et al. 2009) and GRB 090726 (Butler et al. 2010), the isotropic equivalent
energies, Eiso, were taken from Kann et al. (2008, 2010).
The forth column was calculated based on Eq. (1), assuming A ∗ = 1, with
(Fig. C.1) for ISM profiles and 
(Fig. C.1) for wind profiles.
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