<p>Kick velocities produced during accretion induced collapse (AIC) can substantially alter the dynamics of binary pulsars. Here we examine how these kicks reshape post-AIC orbits and identify the conditions under which binaries survive this event. We modeled the orbital response by requiring that the companion’s location at the moment of collapse be consistent with both the pre- and post-kick trajectories. Monte Carlo simulations of 10000 binaries show that modest kicks of 10 to 100 km/s reproduce the observed population spread in the orbitals of close binaries. Post-AIC periods show that the ratio of the two depends sensitively on kick amplitude and the induced eccentricity. Roughly 23% of binaries with present day periods below 2d originate from compact pre-AIC systems of similar scale. Systems experiencing kicks <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\le \)</EquationSource> <EquationSource Format="MATHML"><math> <mo>≤</mo> </math></EquationSource> </InlineEquation> 50 km/s remain bound with high probability, whereas stronger kicks disrupt a large fraction of binaries. significant orbital evolution driven by the AIC process and its role in shaping the population of short-period binary pulsars. These results clarify the dynamical pathways through which AIC contributes to neutron star formation and the diversity of binary pulsar orbits.</p>

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Modeling natal kicks in the formation of binary pulsars: Impact on the orbital dynamics and population characteristics

  • Ali Taani

摘要

Kick velocities produced during accretion induced collapse (AIC) can substantially alter the dynamics of binary pulsars. Here we examine how these kicks reshape post-AIC orbits and identify the conditions under which binaries survive this event. We modeled the orbital response by requiring that the companion’s location at the moment of collapse be consistent with both the pre- and post-kick trajectories. Monte Carlo simulations of 10000 binaries show that modest kicks of 10 to 100 km/s reproduce the observed population spread in the orbitals of close binaries. Post-AIC periods show that the ratio of the two depends sensitively on kick amplitude and the induced eccentricity. Roughly 23% of binaries with present day periods below 2d originate from compact pre-AIC systems of similar scale. Systems experiencing kicks \(\le \) 50 km/s remain bound with high probability, whereas stronger kicks disrupt a large fraction of binaries. significant orbital evolution driven by the AIC process and its role in shaping the population of short-period binary pulsars. These results clarify the dynamical pathways through which AIC contributes to neutron star formation and the diversity of binary pulsar orbits.