Average bolometric corrections and optical to X-ray flux measurements as a function of accretion rate for X-ray binaries

Abstract

ABSTRACT In this paper, we use an RXTE library of spectral models from 10 black hole and 9 pulsar X-ray binaries, as well as model spectra available in the literature from 13 extra-galactic ultra-luminous X-ray sources (ULXs). We compute average bolometric corrections (BC = Lband/Lbol) for our sample as a function of different accretion rates. We notice the same behaviour between black hole and pulsar BCs only when ULX pulsars are included. These measurements provide a picture of the energetics of the accretion flow for an X-ray binary based solely on its observed luminosity in a given band. Moreover, it can be a powerful tool in X-ray binary population synthesis models. Furthermore, we calculate the X-ray (2–10 keV) to optical (V band) flux ratios originating from the disc/corona at different Eddington ratios for the black hole X-ray binaries in our sample. This provides a metric of the maximum contribution of the disc to the optical emission of a binary system and better constraints on its nature (donor type, etc.). We find that the optical to X-ray flux ratio shows very little variation as a function of accretion rate, but testing for different disc geometry scenarios we find that the optical contribution of the disc increases as the p value decreases [T(r) ∼ r−p]. Moreover, observational data are in agreement with a thicker disc scenario (p < 0.65), which could also possibly explain the lack of observed high-inclination systems.