Peak Energy Correlations for Gamma-Ray Bursts

Abstract

Gamma-ray bursts (GRBs) are the most powerful explosions in the universe. Over the past two decades, several GRB energy and luminosity correlations were discovered. These correlations typically involve an observable parameter, like the observed peak energy, E p,obs , and a non-observable quantity, like the equivalent isotropic energy, E iso . This paper provides a brief review of GRB peak energy correlations. Specifically, it focuses on the Amati relation, which correlates E p,obs and E iso , and the Ghirlanda relation, which correlates E p,obs and E γ , the total energy corrected for beaming. The paper also discusses the physical interpretation of these relations in the context of the internal shock model.