Synchrotron Self-Absorption Process in GRBs and the Isotropic Energy - Peak Energy Fundamental Relation

TL;DR

This paper proposes that the observed correlation between GRB peak luminosity and energy can be explained by the synchrotron self-absorption mechanism, linking magnetic fields and relativistic effects.

Contribution

It introduces a model connecting GRB luminosity-energy correlation with synchrotron self-absorption, estimating magnetic field strengths in the central engine.

Findings

Correlation explained by SSA mechanism

Magnetic field strength estimated at ~10^{14} G

Relates Lorentz factor and redshift to emission properties

Abstract

The existence of strong correlation between the peak luminosity (and/or bolometric energetics) of Gamma Ray Bursts (GRB) is one of the most intrigue problem of GRB physics. This correlation is not yet understood. Here we demonstrate that this correlation can be explained in framework of synchrotron self-absorption (SSA) mechanism of GRB prompt emission. We estimate the magnetic field strength of the central engine at the level $B\sim 10^{14} (10^3/\Gamma)^3 (1+z)^2$, where $\Gamma$ is the Lorentz factor of fireball.