The synchrotron-self-Compton spectrum of relativistic blast waves at large Y

TL;DR

This paper models the synchrotron-self-Compton spectrum of relativistic blast waves with large Compton parameter Y, considering decaying micro-turbulence, and predicts enhanced gamma-ray burst detection rates at energies above 10 GeV.

Contribution

It provides detailed calculations of the SSC spectrum in large Y regimes with decaying micro-turbulence, extending previous models to account for non-trivial Y dependence.

Findings

Large Y can significantly alter spectral shapes.

Decaying micro-turbulence affects inverse Compton cooling.

Predicted gamma-ray burst detection rate at >10 GeV is higher.

Abstract

Recent analyses of multiwavelength light curves of gamma-ray bursts afterglows point to values of the magnetic turbulence well below the canonical $\sim1\,$\% of equipartition, in agreement with theoretical expectations of a micro-turbulence generated in the shock precursor, which then decays downstream of the shock front through collisionless damping. As a direct consequence, the Compton parameter $Y$ can take large values in the blast. In the presence of decaying micro-turbulence and/or as a result of the Klein-Nishina suppression of inverse Compton cooling, the $Y$ parameter carries a non-trivial dependence on the electron Lorentz factor, which modifies the spectral shape of the synchrotron and inverse Compton components. This paper provides detailed calculations of this synchrotron-self-Compton spectrum in this large $Y$ regime, accounting for the possibility of decaying micro-turbulence. It calculates the expected temporal and spectral indices $\alpha$ and $\beta$ customarily defined by $F_\nu\,\propto\,t_{\rm obs}^{-\alpha}\nu^{-\beta}$ in various spectral domains. This paper also makes predictions for the very high energy photon flux; in particular, it shows that the large $Y$ regime would imply a detection rate of gamma-ray bursts at $>10\,$GeV several times larger than currently anticipated.