Evolution of an afterglow with a hard electron spectrum

Diffusive shock acceleration theory suggests that the " universal " energy spectrum of electrons with a power-law index p ≈ 2.3, commonly used to model GRB afterglows, cannot extend below an electron lorentz factor γ e equal to the bulk lorentz factor of the blast wave multiplied by the ratio of proton and electron masses. We suggest that the electron energy distribution has a slope p < 2 below this limit, down to an appropriate γ m. A two-slope spectrum such as this provides a good model for the afterglow of GRB010222.