The correlation between isotropic energy and duration of gamma-ray bursts

Abstract

In this paper, we study the correlation between isotropic energy and duration of gamma-ray bursts (GRBs) for the first time. The correlation is found to be $T_d\propto {E_{iso}}^{0.34\pm 0.03}$ from the {\em Swift} GRB sample. After comparing with solar flares from {\em RHESSI} and stellar superflares from {\em Kepler} satellite, we find that the correlation of GRBs shows similar exponent with those of solar flares and stellar superflares. Inspired by the physical mechanism of solar flares and stellar superflares which is magnetic reconnection, we interpret the correlation using magnetic reconnection theory. This similarity hints that magnetic reconnection may dominate energy releasing process of GRBs.

13 pages, 3 figures, 1 table, ApJL in press

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• Bursts before Burst: A Comparative Study on FRB 200428-associated and FRB-absent X-ray Bursts from SGR J1935+2154
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• GRB 221009A: Spectral signatures based on ALPs candidates
• On the relation between duration and energy of non-repeating fast radio bursts: census with the CHIME data
• Are there radio-loud and radio-quiet Gamma-Ray Bursts?
• Confirmed width-Eiso and width-Liso relations in GRB: comparison with the Amati and Yonetoku relations
• Hadronic supercriticality in spherically expanding sources: application to GRB prompt emission