What can PSR J1640-4631 tell us about the internal physics of this neutron star?

Abstract

Gravitational wave emissions (GWEs) of pulsars could not only make them promising targets for continuous gravitational wave searches but also leave imprints in their timing data. We interpret the measured braking index of PSR J1640-4631 with a model involving both the GWE and dipole magnetic field decay. Combining the timing data of PSR J1640-4631 and the theory of magnetic field decay, we propose a new approach of constraining the number of precession cycles, $\xi$, which is highly uncertain currently but can be tightly related to the interior physics of a neutron star and its GWE. We suggest that future observation of the tilt angle $\chi$ of PSR J1640-4631 would not merely help to constrain $\xi$ but also possibly provide information about the internal magnetic field configuration of this pulsar. We find that $\xi$ would be larger than previous estimates unless a tiny angle $\chi \lesssim 5^{\circ }$ is observed. Furthermore, a measured angle $\chi \gtrsim 12^{\circ }$ would indicate $\xi \gtrsim 10^6$, which is at least ten times larger than that suggested previously.

6 pages, 2 figures, to appear in Phys. Rev. D

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Cited by in corpus (6)

• Dense Matter in Neutron Stars with eXTP
• Magnetic-field evolution with large-scale velocity circulation in a neutron-star crust
• A short review of the pulsar magnetic inclination angles (II)
• On the initial spin periods of magnetars born in weak supernova explosions and their gravitational wave radiation
• Constraints on the internal physics of neutron stars from the observational data of several young pulsars: the role of a power-law decaying dipole magnetic field
• Investigating the neutron star physics through observations of several young pulsars in the dipole-field re-emergence scenario