A New Analytical Model for Bulk and Thermal Comptonization in Accretion Powered X-Ray Pulsars

Astronomy and Astrophysics – Astronomy

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Scientific paper

We describe a new theoretical model for the formation of the emergent spectra in accretion-powered X-ray pulsars. The model is based on an explicit treatment of the bulk and thermal Comptonization occurring in a standing, radiation-dominated shock located in the pulsar accretion column. Using a rigorous eigenfunction expansion method, we obtain a closed-form expression for the Green's function describing the upscattering of monochromatic seed radiation injected into the column. The Green's function is convolved with bremsstrahlung, cyclotron, and blackbody source terms to calculate the emergent photon spectrum. The scattering of the seed photons in the shock naturally produces an X-ray spectrum with a relatively flat continuum leading up to a high-energy exponential cutoff. The results are in good agreement with the observed spectra for X-ray pulsars covering a very large range in luminosity, including bright sources such as LMC X-4 and Her X-1 as well as low-luminosity sources such as X Per.

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