New constraints on the Bray conservation-of-momentum natal kick model from multiple distinct observations

Abstract

Natal supernova kicks, the linear momentum compact remnants receive during their formation, are an essential part of binary population synthesis (BPS) models. Although these kicks are well-supported by evidence, their underlying distributions and incorporation into BPS models is uncertain. In this work, we investigate the nature of natal kicks using a previously proposed analytical prescription where the strength of the kick is given by $v_{\text{k}}=\alpha \frac{m_{\text{ejecta}}}{m_{\text{remnant}}}+\beta {\text{km s}}^{-1}$, for free parameters $\alpha$ and $\beta$. We vary the free parameters over large ranges of possible values, comparing these synthetic populations simultaneously against four constraints: the merger rate of compact binary neutron star (BNS) systems, the period-eccentricity distribution of galactic BNSs, the velocity distribution of single-star pulsars, and the likelihood for low-ejecta mass supernovae to produce low-velocity kicks. We find that different samples of the parameter space satisfy each tests, and only 1 per cent of the models satisfy all four constraints simultaneously. Although we cannot identify a single best kick model, we report $\alpha =115_{-55}^{+40}{\text{km s}}^{-1},\beta =15_{-15}^{+10}{\text{km s}}^{-1}$ as the center of the region of the parameter space that fulfils all of our constraints, and expect $\beta \ge 0{\text{km s}}^{-1}$ as a further constraint. We also suggest further observations that will enable future refinement of the kick model. A sensitive test for the kick model will be the redshift evolution of the BNS merger rate since this is effectively a direct measure of the delay-time distribution for mergers. For our best fitting values, we find that the peak of the BNS merger rate is the present-day.

Accepted by MNRAS

References in corpus (22)

• Cosmic Star Formation History
• Multi-messenger Observations of a Binary Neutron Star Merger
• Origin of the heavy elements in binary neutron-star mergers from a gravitational wave event
• Tests of general relativity from timing the double pulsar
• Binary Population and Spectral Synthesis Version 2.1: construction, observational verification and new results
• Formation of Double Neutron Star Systems
• The Fourth Fermi-GBM Gamma-Ray Burst Catalog: A Decade of Data
• The rate, luminosity function and time delay of non-Collapsar short GRBs
• The observed velocity distribution of young pulsars
• Neutron star kicks by the gravitational tug-boat mechanism in asymmetric supernova explosions: progenitor and explosion dependence
• The cosmic merger rate density of compact objects: impact of star formation, metallicity, initial mass function and binary evolution
• Simple recipes for compact remnant masses and natal kicks
• Revising natal kick prescriptions in population synthesis simulations
• Multi-telescope timing of PSR J1518+4904
• The binary pulsar PSR J1811-1736: evidence of a low amplitude supernova kick
• PSR J1930-1852: a pulsar in the widest known orbit around another neutron star
• Dependence of Gravitational Wave Transient Rates on Cosmic Star Formation and Metallicity Evolution History
• SN2019dge: a Helium-rich Ultra-Stripped Envelope Supernova
• PSR J1753-2240: A mildly recycled pulsar in an eccentric binary system
• The impact of natal kicks on galactic r-process enrichment by neutron star mergers
• Forward Modelling the O3(a+b) GW transient mass distributions with BPASS by varying compact remnant mass and SNe kick prescriptions
• Riroriro: Simulating gravitational waves and evaluating their detectability in Python

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• Gravitational wave spectral synthesis
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• On the Formation of GW190521-like Binary Black Hole Merger Systems
• Binary neutron star merger offsets from their host galaxies II. Short-duration gamma-ray bursts
• Forming Double Neutron Stars using Detailed Binary Evolution Models with POSYDON: Comparison to the Galactic Systems