A Comprehensive Analysis of Insight-HXMT Gamma-Ray Burst Data. I. Power Density Spectrum

TL;DR

This study analyzes the Power Density Spectrum of gamma-ray bursts using Insight-HXMT data, revealing energy-dependent spectral indices, similarities between short and long GRBs, and insights into their stochastic processes and timescales.

Contribution

First systematic comparison of PDS for short and long GRBs with extended energy range analysis using Insight-HXMT data, identifying energy dependence and timescale relations.

Findings

Average PDS power-law index varies with energy for both GRB types.

Similar PDS properties suggest common stochastic origins for short and long GRBs.

No significant periodic signals detected in the sample.

Abstract

Power Density Spectrum (PDS) is one of the powerful tools to study light curves of gamma-ray bursts (GRBs). We show the average PDS and individual PDS analysis with {\it Hard X-ray Modulation Telescope} (also named \insighthxmt) GRBs data. The values of power-law index of average PDS ($\alpha_{\bar{P}}$) for long GRBs (LGRBs) vary from 1.58-1.29 (for 100-245, 245-600, and 600-2000 keV). The \insighthxmt\ data allow us to extend the energy of the LGRBs up to 2000 keV, and a relation between $\alpha_{\bar{P}}$ and energy $E$, $\alpha_{\bar{P}}\propto E^{-0.09}$ (8-2000 keV) is obtained. We first systematically investigate the average PDS and individual PDS for short GRBs (SGRBs), and obtain $\alpha_{\bar{P}}\propto E^{-0.07}$ (8-1000 keV), where the values of $\alpha_{\bar{P}}$ vary from 1.86 to 1.34. The distribution of power-law index of individual PDS ($\alpha$) of SGRB, is consistent with that of LGRB, and the $\alpha$ value for the dominant timescale group (the bent power-law, BPL) is higher than that for the no-dominant timescale group (the single power-law, PL). Both LGRBs and SGRBs show similar $\alpha$ and $\alpha_{\bar{P}}$, which indicates that they may be the result of similar stochastic processes. The typical value of dominant timescale $\tau$ for LGRBs and SGRBs is 1.58 s and 0.02 s, respectively. It seems that the $\tau$ in proportion to the duration of GRBs $T_{90}$, with a relation $\tau \propto T_{90}^{0.86}$. The GRB light curve may result from superposing a number of pulses with different timescales. No periodic and quasi-periodical signal above the 3$\sigma$ significance threshold is found in our sample.