Relativistic shock spectra: A prediction

Physics

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Gamma Ray Bursts, Relativistic Particles, Relativistic Theory, Shock Spectra, Critical Frequencies, Electron Energy, Gamma Rays, Synchrotrons

Scientific paper

I argue that particles heated by relativistic shocks should assume an equilibrium energy distribution. This leads to a synchrotron spectrum Fnu varies as nu1/3 up to approximately the critical frequency nu0 of an electron with the mean electron energy. Application to gamma ray bursts (GRB's) implies that a burst with 10-5 erg/(sq cm s) of soft gamma-rays and h(nu0) = 300 KeV should be about 18th magnitude in visible light and a few micro-Jy at 1 GHz (less if self-absorbed).

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