High energy photon radiations of gamma-ray bursts (GRBs) and active galactic nuclei (AGNs) are dominated by their jet radiations. We examine wether 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 showed that the AGNs sample does not agree with the Lp− Ep,z − Γ0 of GRBs. In addition, we obtain a tight relation of Lsyn ∝ E 0.45±0.15 syn,p δ 3.50±0.25 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 GBRs. 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.

中文翻译：

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L syn – E syn, p – δ 活动星系核喷流中的关系以及对伽马射线爆发 L p − E p,z − Γ0 物理起源的暗示

伽马射线暴 (GRB) 和活动星系核 (AGN) 的高能光子辐射以它们的喷射辐射为主。我们检查了 BL Lacs、平谱射电类星体 (FSRQ) 和窄线赛弗特 1 星系 (NLS1s) 中喷流的同步辐射是否遵循即时伽马射线发射与 GRB 的初始洛伦兹因子 (Γ0) 之间的关系。结果表明，AGNs 样本与 GRBs 的 Lp−Ep,z−Γ0 不一致。此外，对于 FSRQ 和 NLS1 星系，我们获得了 Lsyn ∝ E 0.45±0.15 syn,p δ 3.50±0.25 的紧密关系，其中 Lsyn 是同步辐射的峰值光子能量 Esyn,p 处的光度。这种关系不同于 GRB 的 Lp − Ep,z − Γ0 关系。Lsyn 对 δ 的依赖性与 FSRQ 和 NLS1 星系的多普勒增强效应的预期一致，但它不适用于 GBR。我们认为 Γ0 可能是辐射区域动能的代表，并且紧密的 Lp − Ep,z − Γ0 关系是由辐射物理和喷射功率共同塑造的。