Abstract
High energy photon radiations of gamma-ray bursts (GRBs) and active galactic nuclei (AGNs) are dominated by their jet radiations. We examine whether the synchrotron radiations of jets in BL Lacs, flat spectrum radio quasars (FSRQs), and Narrow Line Seyfert 1 galaxies (NLS1s) follow the relation between the prompt gamma-ray emission and the initial Lorentz factor (Γ0) of GRBs. It is shown that the AGN sample does not agree with the Lp − Ep,z − Γ0 relation of GRBs. In addition, we obtain a tight relation of for FSRQs and NLS1 galaxies, where Lsyn is the luminosity at peak photon energy Esyn, p of the synchrotron radiations. This relation is different from the Lp − Ep,z − Γ0 relation of GRBs. The dependence of Lsyn to δ is consistent with the expectation of the Doppler boosting effect for the FSRQs and NLS1 galaxies, but it is not for GRBs. We argue that Γ0 may be a representative of the kinetic power of the radiating region and the tight Lp − Ep, z − Γ0 relation is shaped by the radiation physics and the jet power together.
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