Comptonization Model for Phase Lags in Black Hole Candidates in Low-Hard Spectral State

Astronomy and Astrophysics – Astronomy

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One aspect where RXTE has particularly excelled is observations of Galactic black holes candidates, providing high cadence and quality data on these dynamic, unpredictable and enigmatic systems. One of the puzzling aspects of these observations is the behavior of the variability time delays between soft and hard energy bands, inferred from the difference between corresponding Fourier phases. These time and phase delays are functions of the Fourier frequency when these systems are in a non-thermal, highly variable, low-hard state (LHS). We develop a physical model based on the Fourier formalism and Comptonization scenario, which readily explains the complex behavior of phase delays in the LHS. A simple analytical model successfully reproduces the phase delay dependence on frequency and leads to the proper determination of the photon delay times in a Comptonizing corona. The time delay shows a logarithmic dependence on energy in excellent agreement with the Comptonization model. Combined with the RXTE spectral data, our timing analysis provides a complete characterization of the corona in terms of electron density, temperature and size. Our results strongly point to Comptonization as a primary mechanism for the formation of temporal and spectral properties of BHC in low-hard state. It also opens an exciting prospect for mass measurements of the central BH.

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