Dependence of the broad Fe K$\alpha$ line on the physical parameters of AGN

TL;DR

This study investigates how the broad Fe Kα line in AGN X-ray spectra depends on physical parameters like black hole mass and accretion rate, revealing a strong correlation with Eddington ratio through spectral stacking analysis.

Contribution

It provides new insights into the dependence of the broad Fe Kα line on Eddington ratio and optical classification, using a large sample and spectral stacking methods.

Findings

Broad Fe Kα line detected in high Eddington ratio AGN

Line profile consistent with relativistic broad line model

No significant dependence on black hole mass

Abstract

In this paper, the dependence of the broad Fe K$\alpha$ line on the physical parameters of AGN, such as the black hole mass $M_{BH}$, accretion rate (equivalently represented by Eddington ratio $\lambda_{Edd}$), and optical classification, is investigated by applying the X-ray spectra stacking method to a large sample of AGN which have well measured optical parameters. A broad line feature is detected ($>3\sigma$) in the stacked spectra of the high $\lambda_{Edd}$ sub-sample ($\log\lambda_{Edd}>-0.9$). The profile of the broad line can be well fitted with relativistic broad line model, with the line energy consistent with highly ionized Fe K$\alpha$ line (i.e. Fe xxvi). A model consisting of multiple narrow lines cannot be ruled out, however. We found hints that the Fe K line becomes broader as the $\lambda_{Edd}$ increases. No broad line feature is shown in the sub-sample of broad-line Seyfert 1 (BLS1) galaxies and in the full sample, while a broad line might be present, though at low significance, in the sub-sample of narrow-line Seyfert 1 (NLS1) galaxies. We find no strong dependence of the broad line on black hole masses. Our results indicate that the detection/properties of the broad Fe K$\alpha$ line may strongly depend on $\lambda_{Edd}$, which can be explained if the ionization state and/or truncation radius of the accretion disc changes with $\lambda_{Edd}$. The non-detection of the broad line in the BLS1 sub-sample can be explained if the the average EW of the relativistic Fe K$\alpha$ line is weak or/and the fraction of sources with relativistic Fe K$\alpha$ line is small in BLS1 galaxies.