A disc corona-jet model for the radio/X-ray correlation in black hole X-ray binaries

Abstract

The observed tight radio/X-ray correlation in the low spectral state of some black hole X-ray binaries implies the strong coupling of the accretion and jet. The correlation of $L_{\mathrm{R}}\propto L_{\mathrm{X}}^{\sim 0.5-0.7}$ was well explained by the coupling of a radiatively inefficient accretion flow and a jet. Recently, however, a growing number of sources show more complicated radio/X-ray correlations, e.g., $L_{\mathrm{R}}\propto L_{\mathrm{X}}^{\sim 1.4}$ for $L_{\mathrm{X}}/L_{\mathrm{Edd}}\gtrsim 10^{-3}$, which is suggested to be explained by the coupling of a radiatively efficient accretion flow and a jet. In this work, we interpret the deviation from the initial radio/X-ray correlation for $L_{\mathrm{X}}/L_{\mathrm{Edd}}\gtrsim 10^{-3}$ with a detailed disc corona-jet model. In this model, the disc and corona are radiatively and dynamically coupled. Assuming a fraction of the matter in the accretion flow, $\eta \equiv {\dot{M}}_{\mathrm{jet}}/\dot{M}$, is ejected to form the jet, we can calculate the emergent spectrum of the disc corona-jet system. We calculate $L_{\mathrm{R}}$ and $L_{\mathrm{X}}$ at different $\dot{M}$, adjusting $\eta$ to fit the observed radio/X-ray correlation of the black hole X-ray transient H1743-322 for $L_{\mathrm{X}}/L_{\mathrm{Edd}}>10^{-3}$. It is found that always the X-ray emission is dominated by the disc corona and the radio emission is dominated by the jet. We noted that the value of $\eta$ for the deviated radio/X-ray correlation for $L_{\mathrm{X}}/L_{\mathrm{Edd}}>10^{-3}$, is systematically less than that of the case for $L_{\mathrm{X}}/L_{\mathrm{Edd}}<10^{-3}$, which is consistent with the general idea that the jet is often relatively suppressed at the high luminosity phase in black hole X-ray binaries.

arXiv commentAccepted by MNRAS

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