Magnetohydrostatics in the polar caps of the gamma-ray burst sources

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gamma Ray Bursts, Magnetohydrostatics, Neutron Stars, Polar Caps, Stellar Magnetic Fields, Crossed Fields, Lines Of Force, Stellar Mass Accretion

Scientific paper

The ability of the magnetic field existing at the surface of a neutron star to confine a layer of hydrogen inside the polar caps has been studied. It is found that, except for low values of the magnetic field (less than 10 to the 11th G), diffusion across the field lines is negligible. A numerical solution of the magnetohydrostatic equations shows that the disruption of the field lines can occur only if the ratio beta of the gas pressure to the magnetic pressure exceeds L/h (L = polar cap radius, h = height of the accreted layer). When the amount of accreted matter reaches the critical value at which a thermonuclear flash is triggered, the value of the critical magnetic field is a few times 10 to the 11th G; it is much smaller than what is deduced from Mazets line features (Mazets et al., 1981), i.e. about 5 x 10 to the 12th G. It is therefore concluded that the magnetic field acts as a stiff container, and that it is not distorted on a large scale either before or during the burst.

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