Quasi-periodic oscillation frequencies and mass-outflow rates in black hole powered Galactic microquasars

Abstract

For all available pseudo-Schwarzschild potentials, we provide a non-self-similar model of coupled accretion-outflow systems in connection with the quasi-periodic oscillation (QPO) of black hole powered Galactic microquasars and the emergence of baryonic jets from these objects. We use the vertically integrated 1.5-dimensional model to describe the disc structure where the equations of motion are written for the equatorial plane of the central accretor, assuming the flow to be in hydrostatic equilibrium in the transverse direction. First we formulate and solve the equations governing axisymmetrically rotating, advective, multitransonic black hole accretion, which may contain Rankine-Hugoniot shock waves, and then we calculate the associated QPO frequencies ∨_QPO in terms of relevant accretion parameters. We then argue that the post-shock region for such flows may serve as an efficient source of outflow generation; and we calculate, for the same set of accretion parameters used to calculate the QPO frequencies, what fraction of the accreting material, denoted by R_m, is being blown as shock-generated outflow. In this way we theoretically study the relation between ∨ _QPO and R_m for Galactic microquasars and compare our theoretically obtained result with observational data.