Relationship between X-ray spectral index and X-ray Eddington ratio for Mrk 335 and Ark 564

TL;DR

This study analyzes the relationship between X-ray spectral index and Eddington ratio in two Narrow Line Seyfert I AGNs, revealing different empirical correlations and suggesting possible accretion disk geometry changes.

Contribution

It provides the first detailed flux-resolved spectral analysis of Mrk 335 and Ark 564, establishing empirical relations between spectral index and Eddington ratio with evidence of parallel tracks.

Findings

Spectral index varies with Eddington ratio in Mrk 335 and Ark 564.

Mrk 335 shows a change in the spectral index trend at a specific luminosity.

No universal relationship found between X-ray index and luminosity across AGNs.

Abstract

We present a comprehensive flux resolved spectral analysis of the bright Narrow line Seyfert I AGNs, Mrk~335 and Ark~564 using observations by XMM-Newton satellite. The mean and the flux resolved spectra are fitted by an empirical model consisting of two Comptonization components, one for the low energy soft excess and the other for the high energy power-law. A broad Iron line and a couple of low energies edges are required to explain the spectra. For Mrk~335, the 0.3 - 10 keV luminosity relative to the Eddington value, L{$_{X}$}/L$_{Edd}$, varied from 0.002 to 0.06. The index variation can be empirically described as $\Gamma$ = 0.6 log$_{10}$ L{$_{X}$}/L$_{Edd}$ + 3.0 for $0.005 < L{_{X}}/L_{Edd} < 0.04$. At $ L_{{X}}/L_{Edd} \sim 0.04$ the spectral index changes and then continues to follow $\Gamma$ = 0.6 log$_{10}$ L$_{{X}}$/L$_{Edd}$ + 2.7, i.e. on a parallel track. We confirm that the result is independent of the specific spectral model used by fitting the data in the 3 - 10 keV band by only a power-law and an Iron line. For Ark~564, the index variation can be empirically described as $\Gamma$ = 0.2 log$_{10}$ L$_{{X}}$/L$_{Edd}$ + 2.7 with a significantly large scatter as compared to Mrk~335. Our results indicate that for Mrk~335, there may be accretion disk geometry changes which lead to different parallel tracks. These changes could be related to structural changes in the corona or enhanced reflection at high flux levels. There does not seem to be any homogeneous or universal relationship for the X-ray index and luminosity for different AGNs or even for the same AGN.