High redshift radio quiet quasars - exploring the parameter space of accretion models. Part I: hot semi-spherical flow

Two families of models are currently considered to describe an accretion flow onto black holes and production of the observed X-ray radiation: (1) a standard cold accretion disk with a hot corona above it and (2) an outer truncated accretion disk with a hot semispherical inner flow. We compute spectra in the scenario with a hot inner flow surrounded by a truncated accretion disk covered by a hot corona and test the results on a sample of high redshift (z > 4) quasars observed with Chandra. We find that in order to reproduce the ratio of optical to X-ray fluxes (the $\alpha_{\rm ox}$ parameter), the optical depth of the Comptonizing plasma has to be rather low ($\tau = 0.02 - 0.15 in the corona above the disk, and$\tau = 0.15 - 0.70 in the hot inner flow). This, together with the observed X-ray photon indices, implies either a high temperature in a thermal plasma ($kT_{\rm e} = 90 - 500 keV), or a nonthermal electron distribution in the plasma. We put an upper limit on the disk truncation radius,$r_{\rm tr} \leq 40 R_{\rm S}$. The modeled accretion rate is high,$\dot{m} > 0.2 Eddington rate, which may suggest that high-z radio quiet quasars are analogs of X-ray binaries in their high or very high state.