Pair production and pulsar cutoff in magnetized neutron stars with nondipolar magnetic geometry

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetic Stars, Neutron Stars, Pair Production, Pulsars, Stellar Magnetic Fields, Electron Flux Density, Magnetic Dipoles, Magnetic Flux, Magnetic Poles, Poisson Equation, Quadrupoles, Torque

Scientific paper

The maximum period for pair creation is calculated when the magnetic field at the stellar surface is the superposition of a centered dipole and a centered, axisymmetric quadrupole whose axis is not parallel to the dipole axis, and it is shown that maximum periods in accord with observation can be obtained for a wide range of parameters. The cutoff period depends on magnetic dipolar surface strength, on the ratio of the polar quadrupole field to the polar dipole field, and on the orientation of the dipole moment and the quadrupole moment to the rotation axis. These results are applied to simple models of magnetic field decay and orientation. It is concluded that neutron stars with steady-state space-charge-limited flow in electron zones and with magnetic geometries including a dipole and quadrupole component will produce copious pairs, provided they satisfy the pair production threshold.

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