INTEGRAL Picture Of the Month
June 2014

INTEGRAL POM
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INTEGRAL probes the luminosity distribution of Galactic X-ray binaries

The X-ray luminosities of accreting compact object binaries are known to follow a broken power-law distribution, spanning for at least six orders of magnitude in luminosity. Most of the sources are thus expected to be faint and, therefore, hard to observe. This makes it hard to constrain the parameters of the luminosity distribution (or X-ray luminosity function, XLF), which is of key importance for understanding the origin and evolution of X-ray binaries (XRBs).

The XLF is usually derived from the observed flux distribution of X-ray binaries with known distances. Since only a fraction of the entire population is normally observed, the derived XLF must then be corrected for incompleteness effects. Measuring distances is not trivial, so the sample of XRBs with known distances is rather small, which consequently implies large statistical uncertainties for the derived XLF parameters.

To overcome this problem, it is proposed to model the observed flux distribution of XRBs, rather than their luminosity distribution. This allows to substantially increase the size of the object sample. The fluxes of high-mass and low-mass X-ray binaries (HMXBs, LMXBs, respectively) derived from INTEGRAL/ISGRI 9-year survey are used as an observational reference, which is the most sensitive hard X-ray survey to date. To model the observed flux distribution, Monte-Carlo calculations are used to simulate the expected flux distribution from a synthetic XRB population. The animation in the top panel shows an example of the spatial distribution for simulated HMXB (blue) and LMXB (red) populations and their X-ray luminosity coded with the size of the symbol. For each artificial source, the flux which would be observed by INTEGRAL at Sun location (yellow point), can be easily calculated and the resulting flux distribution can be compared with observations. The parameters of the simulated XRB populations can then be adjusted so that the simulated flux distribution is consistent with observations.

Two plots at the bottom show the resulting range of the allowed XLF parameters (hatched area) for LMXBs (left) and HMXBs (right). Existing estimates, published in the literature, are also shown for reference.

Reference:
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