Spectral-Luminosity relation within individual Fermi GRBs
G. Ghirlanda (1), L. Nava (1,2), G. Ghisellini (1), ((1)INAF-Osservatorio Astronomico di Brera, (2)Universita' dell'Insubria)

TL;DR
This study reveals a consistent, tight correlation between peak energy and luminosity within individual long GRBs detected by Fermi, suggesting a common physical mechanism across different bursts and phases.
Contribution
It demonstrates a time-resolved Ep-Liso correlation within individual GRBs that mirrors the known inter-burst correlation, supporting a universal physical process.
Findings
Ep-Liso correlation is consistent during rise and decay phases.
The correlation is similar across different GRBs and phases.
Supports a common physical mechanism for GRB emission.
Abstract
We study the spectra of all long Gamma Ray Bursts (GRBs) of known redshift detected by the Fermi satellite. Their fluxes and fluences are large enough to allow a time dependent study of their spectral characteristics in the 8 keV-1 MeV energy range. We find that the peak energy Ep of their EL(E) spectrum correlates with the luminosity in a remarkable tight way within individual bursts. This time resolved Ep-Liso correlation is very similar for all the considered bursts, and has a slope and normalisation similar to the analogous Ep-Liso correlation defined by the time integrated spectra of different bursts detected by several different satellites. For a few of the considered GRBs, we could also study the behaviour of the Ep-Liso correlation during the rising and decaying phases of individual pulses within each burst, finding no differences. Our results indicate the presence of a similar…
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