Differential Source Count for Gamma Ray Bursts
Shreya Banerjee, David Eichler, Dafne Guetta

TL;DR
This paper analyzes various luminosity functions for long gamma-ray bursts using physical models, compares them with observations from Swift and Fermi GBM, and discusses their implications for afterglow behaviors.
Contribution
It introduces a physical modeling approach to fit GRB luminosity functions and compares these models with observational data from two major gamma-ray burst samples.
Findings
Best fit parameters for luminosity functions are identified.
Results support the existence of both flat and decreasing afterglow phases.
Models are consistent with observed flux distributions.
Abstract
Different forms of long gamma-ray bursts (GRBs) Luminosity Functions are considered on the basis of an explicit physical model. The inferred flux distributions are compared with the observed ones from two samples of GRBs, Swift and Fermi GBM. The best fit parameters of the Luminosity functions are found and the physical interpretations are discussed. The results are consistent with the observation of a comparable number of flat phase afterglows and monotonic decreasing ones.
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