The Kick Velocity Distribution of Isolated Neutron Stars

Neutron stars (NSs) are thought to receive natal kicks at their formation in supernovae. In order to investigate the magnitude of these kicks, we analyze the proper motions and distance estimates—through either parallax or dispersion measures—of young isolated pulsars and infer their three-dimension...

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Main Authors: Paul Disberg, Ilya Mandel
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal Letters
Subjects:
Online Access:https://doi.org/10.3847/2041-8213/adf286
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author Paul Disberg
Ilya Mandel
author_facet Paul Disberg
Ilya Mandel
author_sort Paul Disberg
collection DOAJ
description Neutron stars (NSs) are thought to receive natal kicks at their formation in supernovae. In order to investigate the magnitude of these kicks, we analyze the proper motions and distance estimates—through either parallax or dispersion measures—of young isolated pulsars and infer their three-dimensional velocities relative to their local standard of rest. We find that the velocities based on parallax distances of pulsars younger than 10 Myr follow a lognormal distribution with μ  = 5.60 ± 0.12 and σ  = 0.68 ± 0.10, peaking at ∼150–200 km s ^−1 , which we adopt as our fiducial kick distribution. Using a previously established method that infers kick magnitudes through the eccentricity of Galactic trajectories, we also estimate the kick velocities of older pulsars, which we find to be consistent with our fiducial kick distribution. A lognormal fit to all pulsars with ages below 40 Myr yields a more constraining (but possibly more prone to systematic errors) fit with μ  = 5.67 ± 0.10 and σ  = 0.59 ± 0.08, respectively. Moreover, (1) we resolve the tension between our results and the Maxwellian distribution found by Hobbs et al., which has a ∼50% higher median velocity, by showing that their analysis is missing a Jacobian needed to correct for its logarithmic histogram bin sizes, and (2) we argue that the bimodality found by others is not statistically significant and that previous results are consistent with our inferred kick distribution, effectively reconciling the literature on observed NS kicks.
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spelling doaj-art-9b5357f085734c1a8f73fccfaaa9f5ae2025-08-20T03:41:11ZengIOP PublishingThe Astrophysical Journal Letters2041-82052025-01-019891L810.3847/2041-8213/adf286The Kick Velocity Distribution of Isolated Neutron StarsPaul Disberg0https://orcid.org/0000-0002-0492-4089Ilya Mandel1https://orcid.org/0000-0002-6134-8946School of Physics and Astronomy, Monash University , Clayton, Victoria 3800, Australia ; paul.disberg@monash.edu; The ARC Center of Excellence for Gravitational Wave Discovery-OzGrav , AustraliaSchool of Physics and Astronomy, Monash University , Clayton, Victoria 3800, Australia ; paul.disberg@monash.edu; The ARC Center of Excellence for Gravitational Wave Discovery-OzGrav , AustraliaNeutron stars (NSs) are thought to receive natal kicks at their formation in supernovae. In order to investigate the magnitude of these kicks, we analyze the proper motions and distance estimates—through either parallax or dispersion measures—of young isolated pulsars and infer their three-dimensional velocities relative to their local standard of rest. We find that the velocities based on parallax distances of pulsars younger than 10 Myr follow a lognormal distribution with μ  = 5.60 ± 0.12 and σ  = 0.68 ± 0.10, peaking at ∼150–200 km s ^−1 , which we adopt as our fiducial kick distribution. Using a previously established method that infers kick magnitudes through the eccentricity of Galactic trajectories, we also estimate the kick velocities of older pulsars, which we find to be consistent with our fiducial kick distribution. A lognormal fit to all pulsars with ages below 40 Myr yields a more constraining (but possibly more prone to systematic errors) fit with μ  = 5.67 ± 0.10 and σ  = 0.59 ± 0.08, respectively. Moreover, (1) we resolve the tension between our results and the Maxwellian distribution found by Hobbs et al., which has a ∼50% higher median velocity, by showing that their analysis is missing a Jacobian needed to correct for its logarithmic histogram bin sizes, and (2) we argue that the bimodality found by others is not statistically significant and that previous results are consistent with our inferred kick distribution, effectively reconciling the literature on observed NS kicks.https://doi.org/10.3847/2041-8213/adf286Neutron starsPulsars
spellingShingle Paul Disberg
Ilya Mandel
The Kick Velocity Distribution of Isolated Neutron Stars
The Astrophysical Journal Letters
Neutron stars
Pulsars
title The Kick Velocity Distribution of Isolated Neutron Stars
title_full The Kick Velocity Distribution of Isolated Neutron Stars
title_fullStr The Kick Velocity Distribution of Isolated Neutron Stars
title_full_unstemmed The Kick Velocity Distribution of Isolated Neutron Stars
title_short The Kick Velocity Distribution of Isolated Neutron Stars
title_sort kick velocity distribution of isolated neutron stars
topic Neutron stars
Pulsars
url https://doi.org/10.3847/2041-8213/adf286
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