On the relation between hard X-ray photon index versus accretion rate for super-Eddington accreting quasars

preprint2020arXivOpen access

Abstract

We investigate whether the hard X-ray photon index (ΓΓ) versus accretion rate correlation for super-Eddington accreting quasars is different from that for sub-Eddington accreting quasars. We construct a sample of 113 bright quasars from the Sloan Digital Sky Survey Data Release 14 quasar catalog, including 38 quasars as the super-Eddington subsample and 75 quasars as the sub-Eddington subsample. We derive black-hole masses using a simple-epoch virial mass formula based on the Hβ{\rm Hβ} lines, and we use the standard thin disk model to derive the dimensionless accretion rates (M˙\dot{\mathscr{M}}) for our sample. The X-ray data for these quasars are collected from the Chandra and XMM-Newton archives. We fit the hard X-ray spectra using a single power-law model to obtain ΓΓ values. We find a statistically significant (RS=0.43R_{\rm S}=0.43, p=7.75×10−3p=7.75\times{10}^{-3}) correlation between ΓΓ and M˙\dot{\mathscr{M}} for the super-Eddington subsample. The ΓΓ-M˙\dot{\mathscr{M}} correlation for the sub-Eddington subsample is also significant, but weaker (RS=0.30R_{\rm S}=0.30, p=9.98×10−3p=9.98\times{10}^{-3}). Linear regression analysis shows that Γ=(0.34±0.11)logM˙+(1.71±0.17){\rm Γ}=(0.34\pm0.11){\rm log}{\dot{\mathscr{M}}}+(1.71\pm0.17) and Γ=(0.09±0.04)logM˙+(1.93±0.04){\rm Γ}=(0.09\pm0.04){\rm log}{\dot{\mathscr{M}}}+(1.93\pm0.04) for the super- and sub-Eddington subsamples, respectively. The ΓΓ-M˙\dot{\mathscr{M}} correlations of the two subsamples are different, suggesting different disk-corona connections in these two types of systems. We propose one qualitative explanation of the steeper ΓΓ-M˙\dot{\mathscr{M}} correlation in the super-Eddington regime that involves larger seed photon fluxes received by the compact coronae from the thick disks in super-Eddington accreting quasars.

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