Analytical Afterglow Lightcurves of Gamma-ray Bursts: the Case of a Flat Electron Spectrum

Astronomy and Astrophysics – Astronomy

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Gamma-Ray Burst: General, Ism: Jets And Outflows, Radiation Mechanisms: Nonthermal

Scientific paper

In the standard afterglow model, the swept electrons have been accelerated to a single power-law energy distribution dn/dγ_{e} ∝ γ_{e}^{-p} (p≈2.3), as expected in the first-order Fermi acceleration process. However, in some events people find evidences for a flat electron spectrum (i.e., p<2). In this work the analytical afterglow lightcurves are presented in the case of a flat electron spectrum. The possibilities that the injected electrons take a single power-law or a broken power-law function are discussed. The results have been applied to the specific burst GRB 060908. We also speculated a possible solution of the so-called low-energy spectrum crisis of gamma-ray bursts.

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