A Spectral Analysis of Fermi-LLE GRBs

The prompt emission of gamma-ray bursts remains mysterious since the mechanism is difficult to understand even though there are much more observations with the development of detection technology. But most of the gamma-ray bursts spectra show the Band shape, which consists of the low energy spectral index $α$, the high energy spectral index $β$, the peak energy $E_{p}$ and the normalization of the spectrum. We present a systematic analysis of the spectral properties of 36 GRBs, which were detected by the Gamma-ray Burst Monitor (GBM), simultaneously, were also observed by the Large Area Telescope (LAT) and the LAT Low Energy (LLE) detector on the $Fermi$ satellite. We performed the detailed time-resolved spectral analysis for all of the bursts in our sample. We found that the time-resolved spectrum at peak flux can be well fitted by the empirical Band function for each burst in our sample. Moreover, the evolution patterns of $α$ and $E_{p}$ have been carried for statistical analysis, and the parameter correlations have been obtained such as $E_{p}-F$, $α-F$, and $E_{p}- α$, all of them are presented by performing the detailed time-resolved spectral analysis. We also demonstrated that the two strong positive correlations $α-F$ and $E_{p}-α$ for some bursts originate from a non-physical selection effects through simulation.

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