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

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.