The Autocorrelation of Gamma-Ray Burst Time Profiles

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gamma Rays: Bursts, Methods: Numerical

Scientific paper

The autocorrelation of time profiles of emission from gamma-ray bursts has previously been proved to be a valuable diagnostic for the study of the timing behavior of these bursts. In particular, comparative studies benefited from this diagnostic. However, in these previous studies, the particular shape of the autocorrelation function has not been addressed in great detail. In the present paper we try to explain the autocorrelation shape and behavior. We propose an empirical model that aids in the evaluation of uncertainties in autocorrelation analyses of gamma-ray burst time profiles. Our most important conclusions are that analyses based on the autocorrelation function are not dominated by mathematical properties not connected with the gamma-ray burst phenomenon, and that the uncertainty in the relative time stretching between different photon energy ranges found through such an analysis previously from CGRO BATSE data is less than or equal to 10%.

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