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Ion-supported tori: a thermal bremsstrahlung model for the X-ray Background

We discuss the possibility that a significant contribution of the hard X-ray Background is the integrated emission from a population of galaxies undergoing advection-dominated accretion in their nuclei. Owing to poor coupling between ions and electrons and to efficient radiative cooling of the electrons, the accreting plasma is two-temperature, with the ions being generally much hotter than the electrons and forming an ion-supported torus. We show that the electron te mperature then saturates at approximately 100keV independent of model parameters. At this temperature the hard X-ray emission is dominated by bremsstrahlung radiation. We find that this physical model gives an excellent fit to the spectrum of the XRB in the 3-60 keV range, provided that there is some evolution associated with the spectral emissivity which must peak at a redshift of about 2. We estimate that such galaxies contribute only to a small fraction of the local X-ray volume emissivity. The model implies a higher mean black hole mass than is obtained from the evolution of quasars alone.