A toy model for coupling accretion disk oscillations to the neutron star spin

Abstract

Lee, Abramowicz & Kluzniak (2004) demonstrated numerically that rotation of neutron star couples with oscillations of its accretion disk, and excites resonances. No specific coupling was assumed, but magnetic field was suggested as the most likely one. Following this idea, we show (Petri 2005) that if the neutron star is non-axially symmetric and rotating, its gravity may provide the coupling and excite resonances. Here, we return to the original suggestion that the coupling is of a magnetic origin, and demonstrate how does it work in terms of a simple, analytic toy-model.