TITLE: 
                        
                            Peak Energy Correlations for Gamma-Ray Bursts
                                
                                
                                    AUTHORS: 
                                            Walid J. Azzam 
                                                    
                                                        KEYWORDS: 
                        Gamma-Ray Bursts, Peak Energy Correlations, Energy Indicators 
                                                    
                                                    
                                                        JOURNAL NAME: 
                        Journal of Applied Mathematics and Physics,  
                        Vol.5 No.8, 
                        August
                                                        4,
                        2017
                                                    
                                                    
                                                        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, Ep,obs, and a non-observable quantity, like the equivalent isotropic energy, Eiso. This paper provides a brief review of GRB peak energy correlations. Specifically, it focuses on the Amati relation, which correlates Ep,obs and Eiso, and the Ghirlanda relation, which correlates Ep,obs and Ey, the total energy corrected for beaming. The paper also discusses the physical interpretation of these relations in the context of the internal shock model.