Table 1
Correlation between rest frame tp/ (1 + z) and prompt emission properties (Fig. 4).
| Correlation | tp only | tp &  |
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| r | P | m | q | r | P | m | q | ||
|
|
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| tp/ (1 + z) vs. Eiso | –0.54 | 3 × 10-6 | –0.71 ± 0.06 | 39.70 ± 3.28 | –0.20 | 1 × 10-2 | –0.95 ± 0.01 | 51.61 ± 1.00 | |
| tp/ (1 + z) vs. Liso | –0.62 | 1 × 10-7 | –0.67 ± 0.10 | 36.89 ± 5.10 | –0.44 | 2 × 10-8 | –0.87 ± 0.02 | 46.77 ± 1.00 | |
| tp/ (1 + z) vs. Ep | –0.54 | 3 × 10-6 | –1.25 ± 0.12 | 5.11 ± 0.33 | –0.24 | 3 × 10-3 | –1.25 ± 0.03 | 4.70 ± 0.10 | |
Notes. The Spearman’s correlation correlation coefficient r and its chance probability P are reported considering only 66 long GRBs with estimated tp or including also the 85 upper limits . The correlation slope m and intercept q of the model Y = q + mX with their 1σ uncertainties are reported.
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