Aspects of pulsar evolution

Abstract

Pulsar statistics are examined from the point of view of generalized evolutionary equations that assume that pulsar torques diminish exponentially with a decay-time constant T, to be determined empirically. Decay or alignment of the neutron-star magnetic moment, or a combination, may cause the torque to diminish with time. The Sturrock-Ruderman-Sutherland pair-production model provides a quantitative way to calculate pulsar lifetimes. Different tests, which use the data in partially independent ways and involve different assumptions, consistently suggest that T is less than a million years and may be as short as several hundred thousand years. The distribution of pulsars, and of those with more than 5% missing pulses is quantitatively consistent with pair production threshold, when the variation of this threshold with neutron star mass is taken into account.