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Table 1

Parameters of the model.

Parameters Valuesa

EGRB: total energy of GRB photons 1053  erg
: total GRB duration 10 s
: variability timescale 0.01 s
γinj: Lorentz factor of injection 10
η: particle acceleration efficiency 4 × 10-5
ξesc: , ratio of escape to acceleration rates 0.25 and 0.1
ϵB: fraction of energy in B 0.1
Γ: bulk Lorentz factor 100; 300
Le: comoving power injected in electrons ~4 × 1044erg/s; ~1043  erg/s
Lp: comoving power injected in protons ~3 × 1043erg/s; ~5 × 1045  erg/s
ΔEe: total energy in electrons (Eqs. (20)–(22)) ~2 × 1047 erg; ~1047 erg
ΔEp: total energy in protons (Eqs. (20)–(22)) ~3 × 1046 erg; ~1049 erg

Notes.

(a)

Values corresponding to Γ = 100 and Γ = 300 appear separated by “;”.

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