Local Electron Acceleration in GRB Shocks

Physics

Scientific paper

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Scientific paper

The shock model of gamma-ray bursts (GRBs) has two free parameters: ɛB and ɛe -the magnetic energy density and the kinetic energy density of the electrons relative to the total energy density of the shock, respectively. The Weibel shock theory confirmed by numerical simulations gives us physical insight into microphysics of the GRB shocks. It has been shown that ɛB should range between few x 10-3 and few x 10-4. However, how to calculate the value of ɛe has been an outstanding theoretical problem for over a decade. Here we demonstrate that the Weibel theory inevitably predicts that ɛB √ɛe. The GRB afterglow data fully agree with this theoretical prediction. Our result explains why the electrons are close to equipartition in GRBs. This ɛB-ɛe relation can potentially be used to reduce the number of free parameters in afterglow models.

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