Tkachenko waves, glitches and precession in neutron star

TL;DR

This paper explores the potential connection between Tkachenko waves, neutron star precession, and glitches, proposing a model where glitches generate Tkachenko waves that drive long-period precession, supported by observational data.

Contribution

It introduces a simple model linking glitches, Tkachenko waves, and precession in neutron stars, supported by observational consistency with RX J0720.4-3125 and PSR B1828-11.

Findings

Precession period of RX J0720.4-3125 matches Tkachenko wave period for an 8.4s spin.

Glitches may generate Tkachenko waves that power neutron star precession.

The model explains long-period precession through energy transfer from Tkachenko waves.

Abstract

Here I discuss possible relations between free precession of neutron stars, Tkachenko waves inside them and glitches. I note that the proposed precession period of the isolated neutron star RX J0720.4-3125 (Haberl et al. 2006) is consistent with the period of Tkachenko waves for the spin period 8.4s. Based on a possible observation of a glitch in RX J0720.4-3125 (van Kerkwijk et al. 2007), I propose a simple model, in which long period precession is powered by Tkachenko waves generated by a glitch. The period of free precession, determined by a NS oblateness, should be equal to the standing Tkachenko wave period for effective energy transfer from the standing wave to the precession motion. A similar scenario can be applicable also in the case of the PSR B1828-11.