The interaction of a magnetic neutron star with an accretion disc

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Angular Velocity, Magnetic Diffusion, Magnetic Stars, Neutron Stars, Plasma Interactions, Magnetic Field Configurations, Velocity Distribution

Scientific paper

The interaction of a magnetic neutron star with an accretion disk is considered, in the axisymmetric case. Stellar poloidal field penetrates the disk and acts as a source of toroidal field, generated by material shears. For typical neutron star magnetic moments the back reaction of the field on the main part of the disk is small. However, in the inner parts of the disk magnetic stresses become comparable to material stresses and the angular velocity of matter tends toward that of the star. Magnetic field solutions are found for two forms of diffusion coefficient and for two angular velocity distributions. These solutions are used to derive the magnetic torque on the star as a function of its rotation rate. Magnetic and accretion torques are compared and expressions are found for the time evolution of the stellar angular velocity and the equilibrium period at which the torques cancel. If this period is to lie in the slow rotator regime, in which accretion along field lines can occur, an upper limit is placed on the diffusion coefficient of the disk.

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