The ``Supercritical Pile" Model for GRB: Tapping the Proton Energy and Getting the ν F{ v} peak at ˜ 1 MeV

Astronomy and Astrophysics – Astronomy

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We propose a process by which the kinetic energy of the protons, that carry most of the energy of GRB relativistic blast waves (RBW) of Lorentz factor Γ , is converted explosively into relativistic electrons of the same Lorentz factor, which subsequently produce the observed prompt γ -ray emission of the burst. This conversion is the result of the combined effects of the reflection of photons produced within the flow by upstream located matter, their re-interception and conversion into e+e^--pairs on the RBW by the p γ ---> p e+e^- reaction.
This procedure depends on kinematic and dynamic thresholds; the kinematic one reads Γ > (2/ b)1/5, where b is the magnetic field of the RBW in units of Bcr ˜ 4.4 1013 G; the dynamic threshold reads Np Γ 4 > 2, where Np is the column density of the post shock matter to the p γ ---> e+e^- reaction; this latter condition is in effect that of the criticality of a nuclear pile, hence the terminology. It is shown that, when operating near threshold, the resulting GRB spectrum produces its peak luminosity at energy (in the lab frame) Ep ˜ Γ 5 b ˜ mec2, thereby providing an answer to this outstanding question of GRBs.

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