Period variation of X-ray pulsars and Kelvin-Helmholtz instability at the accretion disk boundary

Astronomy and Astrophysics – Astrophysics

Scientific paper

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X-Ray Binaries--Accretion Disk--Instability

Scientific paper

We introduce between the magnetosphere of a neutron star and its accretion disk a sheared layer of finite thickness in which the velocity, density, pressure and magnetic field vary continuously and we discuss the Kelvin-Helmholtz instability of plane wave purturbations for the case of a compressible plasma. The results show that the K-H instability is still present and radial wave vector perturbation is the main mode of instability. We particularly considered the effect of the thickness of the sheared layer on the rotation of the neutron star, showing that by suitably adjusting the thickness we can explain the period changes in the X-ray pulsars. Application of this model to Her X-1 gave a good result.

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