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Table 1.

Main properties of four-body models.

Model σc ftri, end fBBH Ntri fhie funs foctu fstab + oct
(km s−1) (%) (%) (%) (%) (%) (%)
MOCC 6.5 31.2 69 736 58 30 72 28
BIN0 5 22.2 76.6 547 49 34 69 31
BIN1 10 20.4 80.6 369 53 37 68 32
BIN2 15 21.4 83.8 640 43 39 66 34

Notes. Column 1: model name. The first model refers to the set of simulations inferred from the MOCCA binary–binary scattering database. Column 2: cluster velocity dispersion. Column 3: percentage of models in which the end state is a triple (normalised to Nsim). Column 4: percentage of models in which the end state is at least one BBH with merger time below 14 Gyr, smaller than both the evaporation time and its initial value. Column 5: number of triples (temporary and end state) formed Ntri. Column 6: percentage of triples with a ratio between outer binary pericentre and inner binary semiaxis of larger than 10 (normalised to Ntri). Column 7: percentage of triples that are unstable, i.e. Mardling & Aarseth (2001) criterion not fulfilled. Column 8: percentage of systems for which secular effects can develop, i.e. having the octupole parameter ϵ < 0.1. Column 9: percentage of systems that both satisfy the stability criterion a3/a < K and have ϵ < 0.1.

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