Vol 20, No 11

The correlations among variability, optical peak time and spectral time lag of long gamma-ray bursts

Bin Liao, Yuan-Chuan Zou, Fei-Fei Wang, Yu Liu, Wei-Hua Lei


Abstract Statistical relations are useful tools to comprehend the intrinsic physics processes of gamma-ray bursts (GRBs). In this work we collect spectral lag (τ), variability (V) and optical peak time (tp,o). We find that there is a correlation between variabilities and spectral lags, reading as \(V = −0.0075(\pm0.0007) \times \log_{10}\tau +0.0351(\pm0.0024)\) . There may also exist a relatively weak positive tendency between GRBs optical band peak times and their spectral time lags. Its Pearson coefficient is 0.398, which indicates a weak linear correlation. If we contain some “negative spectral lag” samples, then the latter relation would be worse due to two outlying points. The τ −V relation is consistent with previous studies, and the positive trend between τ and tp,o indicates the spectral lag of GRB might be caused by the curvature effect, but this conclusion is not significant.


Keywords gamma-ray burst: general — methods: statistical

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