公共X射线混响模型kynxilrev和kynrefrev的参数依赖性
Parameter dependency on the public X-ray reverberation models kynxilrev and kynrefrev
AI总结：
本文比较了公共X射线混响模型kynxilrev和kynrefrev在AGN参数约束上的差异，发现冕高度与滞后幅度及黑洞质量存在标度关系，但两模型在质量和高度估计上存在系统性偏差，提示参数推断可能受模型选择影响。
摘要：
我们对活动星系核（AGN）的约束参数进行了比较研究，这些参数分别由使用反射代码xillver和reflionx的公共X射线混响模型kynxilrev和kynrefrev得出。通过改变中心质量（$M_{\rm BH}$）、冕高度（$h$）、倾角（$i$）、连续谱辐射的光子指数（$Γ$）和源光度（$L$），可以生成相应的滞后-频率谱。我们仅选择那些滞后幅度（$τ$）和$M_{\rm BH}$遵循已知质量标度关系的模拟AGN。在这些模拟样本中，我们表明$τ$和$h$是相关的，并且可能被用作独立的标度关系。此外，还发现$h$（以引力单位表示）与$M_{\rm BH}$正标度，表明在较低质量的AGN中冕更紧凑。两个模型都揭示，冕高度主要在$\sim 5$-$15~r_{\rm g}$之间变化，平均高度在$\sim 10~r_{\rm g}$，并且可能存在于从低质量到高质量的AGN中。然而，kynxilrev似乎表明比kynrefrev更低的$M_{\rm BH}$和$h$。这种不一致在低自旋AGN中更为突出。源高度和光度之间的显著相关性仅由kynrefrev揭示，表明$h$-$L$关系可能依赖于模型。我们的发现强调了这些混响模型之间的差异，这引发了关于参数估计偏差和推断相关性的问题。
英文摘要：
We present a comparative study of the constrained parameters of active galactic nuclei (AGN) made by the public X-ray reverberation model kynxilrev and kynrefrev that make use of the reflection code xillver and reflionx, respectively. By varying the central mass ($M_{\rm BH}$), coronal height ($h$), inclination ($i$), photon index of the continuum emission ($Γ$) and source luminosity ($L$), the corresponding lag-frequency spectra can be produced. We select only the simulated AGN where their lag amplitude ($τ$) and $M_{\rm BH}$ follow the known mass-scaling law. In these mock samples, we show that $τ$ and $h$ are correlated and can possibly be used as an independent scaling law. Furthermore, $h$ (in gravitational units) is also found to be positively scaled with $M_{\rm BH}$, suggesting a more compact corona in lower-mass AGN. Both models reveal that the coronal height mostly varies between $\sim 5$-$15~r_{\rm g}$, with the average height at $\sim 10~r_{\rm g}$ and can potentially be found from low- to high-mass AGN. Nevertheless, the kynxilrev seems to suggest a lower $M_{\rm BH}$ and $h$ than the kynrefrev. This inconsistency is more prominent in lower-spin AGN. The significant correlation between the source height and luminosity is revealed only by kynrefrev, suggesting the $h$-$L$ relation is probably model dependent. Our findings emphasize the differences between these reverberation models that raises the question of biases in parameter estimates and inferred correlations.
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