Abstract
We explore the idea that the high‐frequency quasi‐periodic oscillations (kHz QPOs) observed in Low Mass X‐ray Binaries (LMXBs) may be explained as a resonant coupling between the neutron star spin and epicyclic modes of accretion disk oscillations. We propose a new model for these QPOs based on forced oscillations induced in the disk due to a stellar asymmetric rotating gravitational or magnetic field. Particles evolving in this field are subject to three kinds of resonances: a corotation resonance, a Lindblad resonance due to a driving force, and a parametric resonance due to the time varying epicyclic frequencies. These results are deduced from a linear stability analysis and are extended by means of 2D numerical simulations. The simulations are performed for the Newtonian gravitational potential, as well as for a pseudo‐general relativistic potential, which enables us to explore the behavior of the resonances around both rotating neutron stars and black holes.When applied to a typical neutron star, we ...
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