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Some recent observational results impose significant constraints on all themodels that have been proposed to explain the Galactic black-hole X-ray sourcesin the hard state. In particular, it has been found that during the hard stateof Cyg X-1 the power-law photon number spectral index is correlated with theaverage time lag between hard and soft X-rays. Furthermore, the peakfrequencies of the four Lorentzians that fit the observed power spectra arecorrelated with both the photon index and the time lag. We performed MonteCarlo simulations of Compton upscattering of soft, accretion-disk photons inthe jet and computed the time lag between hard and soft photons and thepower-law index of the resulting photon number spectra. We demonstrate that ourjet model naturally explains the above correlations, with no additionalrequirements and no additional parameters.

A jet model for Galactic black-hole X-ray sources: Some constraining correlations