Statistical similarity between soft gamma repeaters and the repeating fast radio bursts

TL;DR

This study compares the statistical properties of soft gamma repeaters and repeating fast radio bursts, revealing similar distribution patterns and suggesting a possible common origin for these astrophysical phenomena.

Contribution

It demonstrates that soft gamma repeaters and repeating fast radio bursts share similar statistical characteristics, indicating a potential underlying connection.

Findings

Distributions of duration, waiting time, fluence, and flux fit bent power law.

Fluctuations follow Tsallis q-Gaussian distribution.

Scale-invariant burst structures observed.

Abstract

We study the statistical properties of the soft gamma repeater SGR 1935+2154. We find that the cumulative distributions of duration, waiting time, fluence and flux can be well fitted by bent power law. In addition, the probability density functions of fluctuations of duration, waiting time, fluence and flux well follow the Tsallis $q$-Gaussian distribution. The $q$ values keep steady for different temporal scale intervals, indicating a scale-invariant structure of the bursts. Those features are very similar to the property of the repeating fast radio burst FRB 121102, indicating the underlying association between the origins of soft gamma repeaters and repeating fast radio bursts.