Understanding the X-ray luminosity function of high mass X-ray binaries

TL;DR

This paper models the X-ray luminosity function of high mass X-ray binaries, linking primordial binary parameters to observed luminosities, and successfully explains key observed properties.

Contribution

It introduces a model connecting primordial binary parameters to the XLF of neutron star binaries, enhancing understanding of their evolution.

Findings

Model explains basic properties of observed XLF

Establishes a direct relation between binary parameters and luminosity

Uses Jacobian transformation to derive the probability density function

Abstract

High mass X-ray binary luminosity function (XLF) is an important tool for studying binary evolution processes and also the mass loss and consequent evolution in massive stars. We calculate the XLF for neutron star binaries using the standard scenario for formation and evolution of these systems. A one to one relation between primordial binary parameters and the HMXB parameters is established. The probability density function is then transformed using the standard Jacobian formalism. It is shown that the model successfully explains some basic properties of the observed XLF.