On the PDS of GRB light curves

TL;DR

This paper investigates the relationship between the power density spectra of long GRB light curves and their physical properties, proposing that the $E_{peak}- ext{PDS slope}$ correlation supports existing empirical relations.

Contribution

It introduces a synthetic pulse approach to explore the origin of the $E_{peak}-\alpha$ relation and links it to known empirical relations in GRB physics.

Findings

$E_{peak}-\alpha$ relation supports existing empirical correlations.

Synthetic pulses suggest a physical basis for the $E_{peak}-\alpha$ relation.

Preliminary evidence connects PDS parameters with GRB luminosity relations.

Abstract

In spite of the complicated behavior in the time domain, long GRBs show a simpler behavior in the Fourier domain of frequencies, represented by power density spectra, PDS. Recently, there are some relations found between GRBs properties and PDS parameters, modeled by power-laws. Among them, the correlation between peak energy $E_{peak}$ and PDS slope $\alpha$ shows a clear evidence. In this work we try to understand the origin of this correlation, making use of synthetic pulses. We find some preliminary evidences that $E_{peak}-\alpha$ relation can be seen as a new confirmation of the empiric relations $E_{peak}-L$ and $t_{p}-L$ for GRBs.