Period--luminosity relation for persistent LMXBs in the near-infrared
M.Revnivtsev (1), I. Zolotukhin (2,3,4), A. Meshcheryakov (1) (1 -, IKI, Moscow, 2 - Observatoire de Paris-Meudon, 3 - SAI MSU, Moscow, 4 -, Observatoire de Paris)

TL;DR
This paper establishes a near-infrared period-luminosity relation for persistent low-mass X-ray binaries, enabling orbital period estimates from X-ray and infrared data, aiding future galactic population studies.
Contribution
It introduces a new correlation between X-ray luminosity, orbital period, and infrared magnitude for LMXBs, useful for estimating orbital periods from observational data.
Findings
Correlation between L_X, P_orb, and M_K with RMS scatter of ~0.3 mag.
Spectral energy distribution modeled by accretion disc and secondary star.
Potential application in population studies with upcoming surveys.
Abstract
We study relations between the X-ray luminosity, orbital period and absolute near-infrared magnitude of persistent low-mass X-ray binaries (LMXBs). We show that often optical and near-infrared spectral energy distribution of LMXBs can be adequately described by a simple model of an accretion disc and a secondary star reprocessing X-ray emission of a central compact object. This gives us an evidence that using an X-ray luminosity and an absolute infrared magnitude of a persistent LMXB one can make reliable estimate of its orbital period. Using a sample of well-known LMXBs, we have constructed a correlation of L_X, P_orb and M_K values which can be approximated by a straight line with the RMS scatter at the level of ~0.3 mag. Such a correlation, being to some extent an analogous to the correlation, found by van Paradijs & McClintock 1994, might be helpful for future population studies…
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