Neutron superfluid spin-down and magnetic field decay in pulsars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetic Flux, Pulsars, Stellar Interiors, Stellar Magnetic Fields, Superconductors, Superfluidity, Electron Gas, Magnus Effect, Neutrons, Protons, Vortices

Scientific paper

The problem of magnetic flux expulsion from the superconducting interior of a neutron star is reexamined under the assumption that superfluid neutron vortices interact strongly with the two-dimensional lattice of proton vortices. The response of the proton-electron system to a Magnus force acting on the neutron vortices is found. An approximate upper limit is obtained for the Magnus force which would move a neutron vortex through the proton vortex lattice. Magnetic flux is expelled from the interior at a rate determined principally by the transport of field in the normally conducting solid crust rather than by the rotation spin-down time. It is shown that a large fraction of the original magnetic flux cold remain in the superconducting interior of a binary neutron star, for example, Her X-1, after its initial rapid spin-down and would then be trapped by the inward radial movement of neutron vortices which follows.

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