The correlation between peak energy and isotropic radiated energy in GRBs

Mathematics – Logic

Scientific paper

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Scientific paper

I review the observational status and the main implications of the correlation between the GRBs peak energy Ep,i, i.e. the photon energy at which the intrinsic (i.e. corrected for cosmological redshift) νFν spectrum peaks, and the isotropic equivalent radiated energy Eiso. This correlation, discovered basing on BeppoSAX measurements and confirmed and extended to X-Ray Rich GRBs and X-Ray Flashes by HETE-2 measurements, can be used to constrain the parameters ranges of the various scenarios for the prompt emission of GRBs, is a challenging test for jet and GRB/XRF unification models, provides hints on the GRB/SN connection and can be also used to build up redshift estimators and as an input or test for GRB synthesis models. I also include a brief summary and discussion of the correlations discovered building on the Ep,i-Eiso correlation, the most noticeable being the one between Ep,i and the collimation-corrected radiated energy E γ, and briefly comment on the recent debate concerning the possible impact of selection effects on this correlation.

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