A Sobolev Monte Carlo Scattering Method from HMXB Winds

Computer Science

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High Resolution X-Ray Spectroscopy, Plasma Diagnostics

Scientific paper

We present a method for a Monte Carlo calculation of resonant line scattering in the supersonic wind of a HMXB. An analytic solution to this problem is intractable because resonant line scattering is anisotropic and polarizing, and, in the rest frame of the gas where a photon is scattered, the frequency of the photon after scattering depends on the frequency of the photon before scattering. In this Monte Carlo calculation, we follow photons though individual "Sobolev zones" which have small spatial extent. Because of the supersonic expansion of the wind, photons of a given frequency interact in line transitions only inside a single Sobolev zone and not elsewhere in the wind. We assume that the wind velocity distribution is spherically symmetric, implying that there are only three relevant parameters for any Sobelev zone: the optical depth in directions parallel and perpendicular to the wind motion, and the angle from the direction of wind motion from which the Sobolev zone is illuminated by the compact object. Therefore, if we simulate resonant line scattering in a number of Sobolev zones with representative values of the three parameters, we can construct line profiles for any HMXB as a weighted sum of the from a number of Sobolev zones.

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