Scale-invariance in soft gamma repeaters

Abstract

The statistical properties of the soft gamma repeater SGR J1550--5418 are investigated carefully. We find that the cumulative distributions of fluence, peak flux and duration can be well fitted by a bent power law, while the cumulative distribution of waiting time follows a simple power law. In particular, the probability density functions of fluctuations of fluence, peak flux, and duration have a sharp peak and fat tails, which can be well fitted by a $q$-Gaussian function. The $q$ values keep approximately steady for different scale intervals, indicating a scale-invariant structure of soft gamma repeaters. Those results support that the origin of soft gamma repeaters is crustquakes of neutron stars with extremely strong magnetic fields.

arXiv comment7 pages, 5 figures, 2 tables

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• Probing the anisotropic distribution of baryon matter in the Universe using fast radio bursts
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• Scale invariance in X-ray flares of gamma-ray bursts
• Self-organized critical characteristics of teraelectronvolt photons from GRB 221009A
• Quantifying the randomness and scale invariance of the repeating fast radio bursts
• Search for the correlations between host properties and $\mathrm{D}{\mathrm{M}}_{\mathrm{host}}$ of fast radio bursts: constraints on the baryon mass fraction in IGM
• Similar Scale-invariant Behaviors between Soft Gamma-ray Repeaters and An Extreme Epoch from FRB 121102