Formation of Recycled Pulsars in Common Envelope Binaries

TL;DR

This study uses detailed simulations to explore how common envelope phases influence the evolution of neutron star binaries, revealing key factors in forming recycled millisecond pulsars and constraining the efficiency of envelope ejection.

Contribution

It provides the first systematic analysis of the common envelope decoupling phase's role in forming recycled pulsars and constrains the CE ejection efficiency based on observed binary pulsar populations.

Findings

Higher CE ejection efficiencies better match observed pulsar populations.

NSs can accrete enough matter during CEDP to become millisecond pulsars.

Two evolutionary channels reproduce characteristics of PSR J1928+1815.

Abstract

We present a systematic study of the evolution of low- and intermediate-mass X-ray binaries (L/IMXBs) consisting of a $1.4\,M_{\odot}$ neutron star (NS) and a donor star of mass $1-8\,M_{\odot}$. Using grids of detailed MESA simulations, we show that for donor masses of $2-8\,M_{\odot}$, mass transfer may be dynamically unstable, leading to a common envelope (CE) phase. By adopting CE ejection efficiencies in the range $\alpha_{\rm CE} = 0.3-3.0$, we find that post-CE binaries frequently experience a CE decoupling phase (CEDP), which plays a critical role in determining their final orbital and compositional properties. Systems with initial donor masses $\gtrsim 3.5\,M_{\odot}$ predominantly evolve into NS binaries with carbon-oxygen or oxygen-neon white dwarfs (WDs) with masses between $0.5\,M_{\odot}$ and $1.4\,M_{\odot}$. Comparison with the observed population of binary pulsars with a WD companion shows better agreement with higher CE ejection efficiencies ($\alpha_{\rm CE} = 3.0$). Furthermore, we demonstrate that NSs can accrete a sufficient amount of matter ($\gtrsim 0.01\,M_{\odot}$) during the CEDP and subsequent Case BA/BB/BC mass transfer phases to be effectively recycled into millisecond pulsars. We identify two distinct evolutionary channels capable of reproducing the observed characteristics of the millisecond pulsar PSR J1928+1815 with a helium-star companion. Our results highlight the importance of the CEDP in the formation of recycled pulsars and provide constraints on the CE ejection efficiency during binary evolution.