The Amati relation in the "fireshell" model

dc.creatorGuida, Roberto
dc.creatorBernardini, Maria Grazia
dc.creatorBianco, Carlo Luciano
dc.creatorCaito, Letizia
dc.creatorDainotti, Maria Giovanna
dc.creatorRuffini, Remo
dc.date2008-06-23
dc.date.accessioned2026-07-07T10:07:19Z
dc.date.available2026-07-07T10:07:19Z
dc.description(Shortened) CONTEXT: [...] AIMS: Motivated by the relation proposed by Amati and collaborators, we look within the ``fireshell'' model for a relation between the peak energy E_p of the νF_νtotal time-integrated spectrum of the afterglow and the total energy of the afterglow E_{aft}, which in our model encompasses and extends the prompt emission. METODS: [...] Within the fireshell model [...] We can then build two sets of ``gedanken'' GRBs varying the total energy of the electron-positron plasma E^{e^\pm}_{tot} and keeping the same baryon loading B of GRB050315. The first set assumes for the effective CBM density the one obtained in the fit of GRB050315. The second set assumes instead a constant CBM density equal to the average value of the GRB050315 prompt phase. RESULTS: For the first set of ``gedanken'' GRBs we find a relation E_p\propto (E_{aft})^a, with a = 0.45 \pm 0.01, whose slope strictly agrees with the Amati one. Such a relation, in the limit B \to 10^{-2}, coincides with the Amati one. Instead, in the second set of ``gedanken'' GRBs no correlation is found. CONCLUSIONS: Our analysis excludes the Proper-GRB (P-GRB) from the prompt emission, extends all the way to the latest afterglow phases and is independent on the assumed cosmological model, since all ``gedanken'' GRBs are at the same redshift. The Amati relation, on the other hand, includes also the P-GRB, focuses on the prompt emission only, and is therefore influenced by the instrumental threshold which fixes the end of the prompt emission, and depends on the assumed cosmology. This may well explain the intrinsic scatter observed in the Amati relation.
dc.description4 pages, 5 figures, to appear on A&A Letters
dc.identifierhttps://arxiv.org/abs/0806.3705
dc.identifierhttp://arxiv.org/abs/0806.3705
dc.identifierAstron.Astrophys. 487 (2008) L37-L40
dc.identifierdoi:10.1051/0004-6361:200810338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170595
dc.subjectAstrophysics
dc.titleThe Amati relation in the "fireshell" model
dc.typetext

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