The correlations among variability,optical peak time and spectral time lag of long gamma-ray bursts
The correlations among variability,optical peak time and spectral time lag of long gamma-ray bursts
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摘要:
Statistical relations are useful tools to comprehend the intrinsic physics processes of gamma-ray bursts(GRBs).In this work we collect spectral lag(r),variability(V)and optical peak time(tp,0).We find that there is a correlation between variabilities and spectral lags,reading as V =-0.0075(±0.0007)x log10 r+0.0351(±0.0024).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 r-V relation is consistent with previous studies,and the positive trend between r and tp,0 indicates the spectral lag of GRB might be caused by the curvature effect,but this conclusion is not significant.