Evidence for mass-dependent peculiar velocities in compact object binaries: Towards better constraints on natal kicks

TL;DR

This study compiles velocities of compact object binaries to analyze natal kicks, revealing a two-component velocity distribution and correlations with binary mass and orbital period, aiding understanding of binary evolution.

Contribution

It introduces a comprehensive velocity distribution model for compact binaries and uncovers correlations with system mass and orbital period, advancing knowledge of natal kick effects.

Findings

Bimodal Maxwellian velocity distribution with low and high-velocity components.

Significant anti-correlation between peculiar velocity and binary mass.

Significant anti-correlation between peculiar velocity and orbital period.

Abstract

We compile a catalogue of low-mass and high-mass X-ray binaries, some recently reported binaries that likely host a neutron star (NS) or a black hole (BH), and binary pulsars (a pulsar and a non-degenerated companion) that have measured systemic radial velocities ($\gamma$). Using Gaia and radio proper motions together with $\gamma$, we integrate their Galactic orbits and infer their post-supernova (post-SN) 3D peculiar velocities ($v_\mathrm{pec}^{z=0}$ at Galactic plane crossing); these velocities bear imprint of natal kicks that compact objects received at birth. With the sample totalling 85 objects, we model the overall distribution of $v_\mathrm{pec}^{z=0}$ and find a two-component Maxwellian distribution with a low- ($\sigma_v \approx 21\,\mathrm{km~s^{-1}}$) and a high-velocity ($\sigma_v \approx 107\,\mathrm{km~s^{-1}}$) component. A further comparison between distributions of binary subgroups suggests that binaries hosting high-mass donors/luminous companions mostly have $v_\mathrm{pec}^{z=0}\lesssim 100\,\mathrm{km~s^{-1}}$, while binaries with low-mass companions exhibit a broader distribution that extends up to $\sim 400\,\mathrm{km~s^{-1}}$. We also find significant anti-correlations of $v_\mathrm{pec}^{z=0}$ with binary total mass ($M_\mathrm{tot}$) and orbital period ($P_\mathrm{orb}$), at over 99% confidence. Specifically, our fit suggests $v_\mathrm{pec}^{z=0}\propto M_\mathrm{tot}^{-0.5}$ and $v_\mathrm{pec}^{z=0}\propto P_\mathrm{orb}^{-0.2}$. Discussions are presented on possible interpretation of the correlations in the context of kinematics and possible biases. The sample should enable a range of follow-up studies on compact object binary kinematics and evolution.