An optimal envelope ejection efficiency for merging neutron stars

Abstract

We use the rapid binary stellar evolution code BINARY_C to estimate the rate of merging neutron stars with numerous combinations of envelope ejection efficiency and natal kick dispersion. We find a peak in the local rate of merging neutron stars around $\alpha \approx 0.3$$-$$0.4$, depending on the metallicity, where $\alpha$ is the efficiency of utilising orbital energy to unbind the envelope. The peak height decreases with increasing electron-capture supernova kick dispersion ${\sigma }_{\mathrm{ECSN}}$. We explain the peak as a competition between the total number of systems that survive the common-envelope phase increasing with $\alpha$ and their separation, which increases with $\alpha$ as well. Increasing $\alpha$ reduces the fraction of systems that merge within a time shorter than the age of the Universe and results in different mass distributions for merging and non-merging double neutron stars. This offers a possible explanation for the discrepancy between the Galactic double neutron star mass distribution and the observed massive merging neutron star event GW190425. Within the $\alpha$$-$${\sigma }_{\mathrm{ECSN}}$ parameter space that we investigate, the rate of merging neutron stars spans several orders of magnitude up to more than $1\times 10^3{\mathrm{Gpc}}^{-3}{\mathrm{yr}}^{-1}$ and can be higher than the observed upper limit or lower than the observed lower limit inferred thus far from merging neutron stars detected by gravitational waves. Our results stress the importance of common-envelope physics for the quantitative prediction and interpretation of merging binary neutron star events in this new age of gravitational wave astronomy.

arXiv comment16 pages, 10 figures, this is an author-produced version of an article accepted for publication in MNRAS following peer review. The version of record is now available online at https://doi.org/10.1093/mnras/stad971 . (N.b. the tables are better formatted in the arXiv article.) Our data are available online at https://zenodo.org/record/7811486#.ZDJt6I5BzJU

References in corpus (92)

• Astropy: A Community Python Package for Astronomy
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Cosmic Star Formation History
• Binary interaction dominates the evolution of massive stars
• Evolution of binary stars and the effect of tides on binary populations
• Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
• A statistical study of 233 pulsar proper motions
• Electromagnetic Counterparts of Compact Object Mergers Powered by the Radioactive Decay of R-process Nuclei
• Tests of general relativity from timing the double pulsar
• Common Envelope Evolution: Where we stand and how we can move forward
• Short-Hard Gamma-Ray Bursts
• Using gravitational-wave observations and quasi-universal relations to constrain the maximum mass of neutron stars
• Formation of Double Neutron Star Systems
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• The Effects of Binary Evolution on the Dynamics of Core Collapse and Neutron-Star Kicks
• Progenitors of gravitational wave mergers: Binary evolution with the stellar grid-based code ComBinE
• On the Maximum Mass of Differentially Rotating Neutron Stars
• Metallicity Evolution of Damped Lyman-alpha Systems out to z~5
• On the formation history of Galactic double neutron stars
• The effect of the metallicity-specific star formation history on double compact object mergers
• The Age-Metallicity Relation of the Universe in Neutral Gas: The First 100 Damped Lya Systems
• Theoretical uncertainties of the type Ia supernova rate
• Pulsar J0453+1559: A Double Neutron Star System with a Large Mass Asymmetry
• Pulsar Recoil by Large-Scale Anisotropies in Supernova Explosions
• Evidence for a maximum mass cut-off in the neutron star mass distribution and constraints on the equation of state
• The cosmic merger rate of neutron stars and black holes
• Double neutron stars: merger rates revisited
• The observed velocity distribution of young pulsars
• The Spherical Accretion Shock Instability in the Linear Regime
• On the alpha formalism for the common envelope interaction
• The Timing of Nine Globular Cluster Pulsars
• On the Binding Energy Parameter $\lambda$ of Common Envelope Evolution
• Population Synthesis for Neutron Star Systems with Intrinsic Kicks
• The first direct double neutron star merger detection: implications for cosmic nucleosynthesis
• The cosmic merger rate density of compact objects: impact of star formation, metallicity, initial mass function and binary evolution
• A census of metals and baryons in stars in the local Universe
• Evolution of magnetized, differentially rotating neutron stars: Simulations in full general relativity
• The impact of companions on stellar evolution
• Measurement of Orbital Decay in the Double Neutron Star Binary PSR B2127+11C
• The mass distribution of Galactic double neutron stars
• A Comprehensive Study of Relativistic Gravity using PSR B1534+12
• It has to be cool: on supergiant progenitors of binary black hole mergers from common-envelope evolution
• Population Synthesis of Binary Carbon-enhanced Metal-poor Stars
• PALFA Discovery of a Highly Relativistic Double Neutron Star Binary
• The expansion of stripped-envelope stars: consequences for supernovae and gravitational-wave progenitors
• PSR J1756-2251: a new relativistic double neutron star system
• The young, highly relativistic binary pulsar J1906+0746
• The Complete Evolution of a Neutron-Star Binary through a Common Envelope Phase Using 1D Hydrodynamic Simulations
• Asymmetric Accretion Flows within a Common Envelope
• The Fundamental Plane of Damped Lyman Alpha Systems
• Accretion in common envelope evolution
• The impact of electron-capture supernovae on merging double neutron stars
• The cosmic merger rate density evolution of compact binaries formed in young star clusters and in isolated binaries
• Revising natal kick prescriptions in population synthesis simulations
• Winds from stripped low-mass Helium stars and Wolf-Rayet stars
• The millisecond pulsar mass distribution: Evidence for bimodality and constraints on the maximum neutron star mass
• Multi-telescope timing of PSR J1518+4904
• The High Time Resolution Universe Pulsar Survey - XIII. PSR J1757-1854, the most accelerated binary pulsar
• Common Envelope Evolution Redux
• Hydrodynamical Neutron-star Kicks in Electron-capture Supernovae and Implications for the CRAB Supernova
• Binary stars in the Galactic thick disc
• On the role of recombination in common-envelope ejections
• The Green Bank North Celestial Cap Pulsar Survey III: 45 New Pulsar Timing Solutions
• Advanced LIGO Constraints on Neutron Star Mergers and R-Process Sites
• Einstein@Home discovery of a Double-Neutron Star Binary in the PALFA Survey
• The cosmic evolution of dust-corrected metallicity in the neutral gas
• On the mass distribution of neutron stars
• PSR J1829+2456: a relativistic binary pulsar
• Analytical expressions for the envelope binding energy of giants as a function of basic stellar parameters
• The High Time Resolution Universe Pulsar Survey XII : Galactic plane acceleration search and the discovery of 60 pulsars
• The binary pulsar PSR J1811-1736: evidence of a low amplitude supernova kick
• On the Maximum Mass of Neutron Stars
• PSR J1930-1852: a pulsar in the widest known orbit around another neutron star
• Modelling Neutron Star-Black Hole Binaries: Future Pulsar Surveys and Gravitational Wave Detectors
• Speaking with one voice: simulations and observations discuss the common envelope $\alpha$ parameter
• Pulsar J1411+2551: A Low Mass New Double Neutron Star System
• The limited role of recombination energy in common envelope removal
• Can neutron star mergers alone explain the r-process enrichment of the Milky Way?
• Effects of winds on the leftover hydrogen in massive stars following Roche lobe overflow
• Modelling Double Neutron Stars: Radio and Gravitational Waves
• White dwarf binaries suggest a common envelope efficiency $\alpha \sim 1/3$
• Electron Capture Supernovae From Close Binary Systems
• PSR J1753-2240: A mildly recycled pulsar in an eccentric binary system
• Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources
• The effect of the environment-dependent IMF on the formation and metallicities of stars over the cosmic history
• Energizing the last phase of common envelope removal
• Circumbinary discs for stellar population models
• X-ray binaries and their descendants: binary radio pulsars; evidence for three classes of neutron stars?

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