Log-normal Distributions in Gamma-Ray Burst Time Histories

Abstract

We propose a new, simple but powerful algorithm to analyze the gamma-ray burst temporal structures based on identifying nonstatistical variations ("peaks") in the time histories. Detailed analyses of the bursts from the third BATSE catalog show that ~30 bursts have more than 20 peaks individually. Upon identifying most of the peaks in those bursts, we show that the peak fluence Si, and peak interval delta i distributions within each burst are consistent with log-normal distributions. Furthermore, we show that Gaussian (in linear space) and power-law distributions for peak fluences are ruled out, as is the Poisson distribution for peak intervals.