Formation and evolution of compact binaries in globular clusters: II. Binaries with neutron stars

TL;DR

This study models the formation and evolution of neutron star binaries in dense globular clusters, explaining observed low-mass X-ray binaries and millisecond pulsars, and predicting merger rates relevant for gravitational wave detection.

Contribution

It introduces a comprehensive simulation of neutron star binary formation in globular clusters, incorporating electron-capture supernovae and detailed pulsar recycling processes.

Findings

Reproduces observed LMXB formation rates with ECS supernovae assumptions.

Predicts weak metallicity dependence of quiescent LMXB numbers.

Identifies conditions for producing merging double neutron stars in dense clusters.

Abstract

In this paper, the second of a series, we study the stellar dynamical and evolutionary processes leading to the formation of compact binaries containing neutron stars (NSs) in dense globular clusters (GCs). For this study, 70 dense clusters were simulated independently, with a total stellar mass ~2x10^7Msun, exceeding the total mass of all dense GCs in our Galaxy. We find that, in order to reproduce the empirically derived formation rate of low-mass X-ray binaries (LMXBs), we must assume that NSs can be formed via electron-capture supernovae (ECS) with typical natal kicks smaller than in core-collapse supernovae. Our results explain the observed dependence of the number of LMXBs on ``collision number'' as well as the large scatter observed between different GCs. We predict that the number of quiescent LMXBs in different GCs should not have a strong metallicity dependence. In our cluster model the following mass-gaining events create populations of MSPs that do not match the observations: (i) accretion during a common envelope event with a NS formed through ECS, and (ii) mass transfer (MT) from a WD donor. Some processes lead only to a mild recycling. In addition, for MSPs, we distinguish low-magnetic-field (long-lived) and high-magnetic-field (short-lived) populations. With this distinction and by considering only those mass-gaining events that appear to lead to NS recycling, we obtain good agreement of our models with the numbers and characteristics of observed MSPs in 47 Tuc and Terzan 5, as well as with the cumulative statistics for MSPs detected in GCs of different dynamical properties. We find that significant production of merging double NSs potentially detectable as short gamma-ray bursts occurs only in very dense, most likely core-collapsed GCs. (abridged)