KHz and Horizontal Branch QPOs as Growing Acoustic Perturbations of a Standing Accretion Shock

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We consider an analytic model of the oscillations of a shock formed in the accretion flow around neutron stars and black holes, where the Keplerian motion of the accretion disk adjusts to the sub-Keplerian motion of the central compact object and its corona. This is necessarily a slow-mode MHD shock. The shock extends out of the equatorial plane as plasma expelled from the accretion disk as a wind falls back into the gravitational potential. We find two growing axisymmetric (m=0)modes, one concentrated in polar regions and the other at the equator, that give rise to kHz QPOs. Further growing nonaxisymmetric m=1, 2, ... modes can explain lower frequency QPOs, interpreted here as horizontal branch or LF oscillations. We emphasize the strong correspondence between the predicted growing modes and observations. All other modes
found in our analysis damp, and are not expected to give rise to QPO phenomena. Work supported by NASA and basic research funds of ONR.

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