45 Years of Rotation of the Crab Pulsar

TL;DR

This study analyzes 45 years of Crab pulsar rotation data, revealing a consistent slowdown with intermittent glitches that partially reverse the slowdown rate, and suggests a magnetic dipole braking mechanism with increasing inclination angle.

Contribution

It provides a comprehensive long-term analysis of Crab pulsar spin-down, quantifies glitch effects, and interprets the braking index in terms of magnetic field evolution and additional torques.

Findings

Glitches reduce the slowdown rate by about 6%.

The braking index is measured at 2.342, close to 2.5 between glitches.

The underlying slowdown follows a power law with a braking index of 2.5.

Abstract

The 30-Hz rotation rate of the Crab pulsar has been monitored at Jodrell Bank Observatory since 1984 and by other observatories before then. Since 1968, the rotation rate has decreased by about $0.5$\,Hz, interrupted only by sporadic and small spin up events (glitches). 24 of these events have been observed, including a significant concentration of 15 occurring over an interval of 11 years following MJD 50000. The monotonic decrease of the slowdown rate is partially reversed at glitches. This reversal comprises a step and an asymptotic exponential with a 320-day time constant, as determined in the three best-isolated glitches. The cumulative effect of all glitches is to reduce the decrease in slowdown rate by about 6\%. Overall, a low mean braking index of $2.342(1)$ is measured for the whole period, compared with values close to $2.5$ in intervals between glitches. Removing the effects of individual glitches reveals an underlying power law slowdown with the same braking index of 2.5. We interpret this value in terms of a braking torque due to a dipolar magnetic field in which the inclination angle between the dipole and rotation axes is increasing. There may also be further effects due to a monopolar particle wind or infalling supernova debris.