The separation distribution and merger rate of double white dwarfs: improved constraints

TL;DR

This study combines two large surveys to precisely characterize the double white dwarf population, their separation distribution, and merger rate, providing insights into their role as progenitors of Type-Ia supernovae.

Contribution

It offers the first joint likelihood analysis of two surveys to constrain the DWD fraction, separation distribution, and merger rate with improved accuracy.

Findings

DWD fraction among WDs is approximately 9.5%.

Galactic WD merger rate is about 9.7e-12 per year per WD.

Approximately 8.5-11% of all WDs have merged over the Galaxy's lifetime.

Abstract

We obtain new and precise information on the double white dwarf (DWD) population and on its gravitational-wave-driven merger rate, by combining the constraints on the DWD population from two previous radial-velocity-variation studies: One based on a sample of white dwarfs (WDs) from the Sloan Digital Sky Survey (SDSS, which with its low spectral resolution probes systems at separations a<0.05 au), and one based on the ESO-VLT Supernova-Ia Progenitor surveY (SPY, which, with high spectral resolution, is sensitive to a<4 au). From a joint likelihood analysis, the DWD fraction among WDs is fbin=0.095+/-0.020 (1-sigma, random) +0.010 (systematic) in the separation range ~<4 au. The index of a power-law distribution of initial WD separations (at the start of solely gravitational-wave-driven binary evolution), N(a)da ~ a^alpha da, is alpha=-1.30+/-0.15 (1-sigma) +0.05 (systematic). The Galactic WD merger rate per WD is R_merge=(9.7+/-1.1)e-12 /yr. Integrated over the Galaxy lifetime, this implies that 8.5-11 per cent of all WDs ever formed have merged with another WD. If most DWD mergers end as more-massive WDs, then some 10 per cent of WDs are DWD-merger products, consistent with the observed fraction of WDs in a "high-mass bump" in the WD mass function. The DWD merger rate is 4.5-7 times the Milky Way's specific Type-Ia supernova (SN Ia) rate. If most SN Ia explosions stem from the mergers of some DWDs (say, those with massive-enough binary components) then ~15 per cent of all WD mergers must lead to a SN Ia.