Self‐consistent Thermal Accretion Disk Corona Models for Compact Objects. II. Application to Cygnus X‐1

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We apply our self-consistent accretion disk corona (ADC) model, with two different geometries, to the broadband X-ray spectrum of the black hole candidate Cygnus X-1. As shown in a companion paper, models in which the Comptonizing medium is a slab surrounding the cold accretion disk cannot have a temperature higher than about 140 keV for optical depths greater than 0.2, resulting in spectra that are much softer than the observed 10-30 keV spectrum of Cyg X-1. In addition, the slab-geometry models predict a substantial soft excess at low energies, a feature not observed for Cyg X-1, and Fe Kα fluorescence lines that are stronger than observed. Previous Comptonization models in the literature have invoked a slab geometry with optical depth τT 0.3 and coronal temperature Tc ~ 150 keV, but they are not self-consistent. Therefore, ADC models with a slab geometry are not appropriate for explaining the X-ray spectrum of Cyg X-1. Models with a spherical corona and an exterior disk, however, predict much higher self-consistent coronal temperatures than the slab-geometry models. The higher coronal temperatures are due to the lower amount of reprocessing of coronal radiation in the accretion disk, giving rise to a lower Compton cooling rate. Therefore, for the sphere-plus-disk geometry, the predicted spectrum can be hard enough to describe the observed X-ray continuum of Cyg X-1 while predicting Fe fluorescence lines having an equivalent width of ~40 eV. Our best-fit parameter values for the sphere-plus-disk geometry are τT ≈ 1.5 and Tc ≈ 90 keV.