Expectancy of large pulsar glitches

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Abstract
We discuss the expectancy of large glitches (⁠|$\Delta\Omega/\Omega \gtrsim10^{-7}$|⁠) from a sample of 267 pulsars older than the Vela pulsar. The sample includes most single pulsars with known |$\dot \Omega$|⁠. The glitch expectancy is calculated according to two different models, the superfluid vortex unpinning model and the corequake model. If all pulsars are assumed to experience glitches, both models are consistent with the fact that three such glitches have been observed from the entire sample. With this assumption, the statistics do not favour either model over the other, although it is unlikely that all neutron stars have solid cores to produce glitches by corequakes since, theoretically, only neutron stars of mass ≳ 2 M⊙ could have solid cores. Values of the model parameters implied by the observed number of glitches are determined. We also discuss the prospects of applying similar arguments to small glitches (⁠|$\Delta\Omega/\Omega \sim10^9-10^{-8}$|⁠) of the magnitude observed in the Crab pulsar.

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