The impact of spin-kick alignment on the inferred velocity distribution of isolated pulsars

Abstract

The speeds of young isolated pulsars are generally inferred from their observed 2-d velocities on the plane of the sky under the assumption that the unobserved radial velocity is not special, i.e., that the measured 2-d velocity is an isotropic projection of the full 3-d velocity. However, if pulsar spins are preferentially aligned with kicks, then the observer's viewing angle relative to the pulsar velocity vector is in fact special because the direction of the spin impacts the detectability of the pulsar. This means that the measured 2-d velocity of observable pulsars is not an isotropic projection, which affects inference on 3-d velocities. We estimate this effect and conclude that it could lead to a ~15% systematic over-estimate of neutron star natal kicks if young pulsars have high obliquity angles and narrow beams, but the exact correction factor depends on the distribution of beam-spin and spin-kick misalignment angles and beam widths.

arXiv commentUpdated to published version

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Cited by in corpus (7)

• The Kick Velocity Distribution of Isolated Neutron Stars
• Deceleration of kicked objects due to the Galactic potential
• Gravitational-wave Observations Suggest Most Black Hole Mergers Form in Triples
• A kinematically constrained kick distribution for isolated neutron stars
• Natal kicks of compact objects
• Evidence for the spin-kick alignment of pulsars from the statistics of their magnetic inclinations
• Constraining the Pulsar 3D Velocity Distribution: The Impact of Spin-Velocity Alignment