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Description
Gamma-ray bursts (GRBs) are high-energy events that release isotropic energy on the order of $10^{48}$ - $10^{55}$ erg. They are classified into long or short bursts depending on their observed duration. Long GRBs have a duration ($t_{90}$) greater than 2 seconds, and their progenitors are associated with the collapse of massive stars (collapsars).
Distances are only known for a small number of GRBs. Empirical correlations have led to various methods for obtaining pseudo-redshift calculations. One of the most well-studied correlation is the $E_{peak}-E_{iso}$ correlation, also known as the Amati correlation, which relates the peak energy of the Band function of the $\nu F\nu$ spectrum in the GRB frame to the equivalent isotropic energy for long GRBs.
In this work, a sample of long GRBs from the Fermi telescope catalogue is analized, and the Amati correlation is used to infer pseudo-redshifts. This research was supported by the UNAM-PAPIIT project number IG101323.