English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The distribution of LIGO black hole binaries (BBH) shows an intermediate-massrange consistent with the Salpeter Initial Mass Function (IMF) in black holeformation by core-collapse supernovae, subject to preserving binaryassociation. They are effectively parameterized by mean mass $\mu$ with Pearsoncorrelation coefficient $r = 0.93\,\pm\,0.06$ of secondary to primary masseswith mean mass-ratio $\bar{q}\simeq 0.67$, $q=M_2/M_1$, consistent with thepaucity of intermediate-mass X-ray binaries. The mass-function of LIGO BBHs iswell-approximated by a broken power-law with a tail $\mu\gtrsim 31.4M_\odot${in the mean binary mass $\mu=\left(M_1+M_2\right)/2$}. Its power-law index$\alpha_{B,true}=4.77\pm 0.73$ inferred from the tail of the observedmass-function is found to approach the upper bound $2\alpha_S=4.7$ of theuncorrelated binary initial mass-function, defined by the Salpeter index$\alpha_S=2.35$ of the Initial Mass Function of stars. The observed low scatterin BBH mass ratio $q$ evidences equalizing mass-transfer in binary evolutionprior to BBH formation. At the progenitor redshift $z^\prime$, furthermore, thepower-law index satisfies $\alpha_B^\prime>\alpha_B$ in a flat $\Lambda$CDMbackground cosmology. The bound $\alpha_{B,true}^\prime \lesssim 2\alpha_S$hereby precludes early formation at arbitrarily high redshift $z^\prime \gg1$,that may be made more precise and robust with extended BBH surveys fromupcoming LIGO O4-5 observations.

On the mass-function of GWTC-2 binary black hole systems and their progenitors