Table 1.
Outcome of our model variations.
Physical assumptions | Parameter | Value | ⟨L⟩ | ⟨Lrun⟩ | ⟨Lwalk⟩ | ⟨v⟩ | vmed | ⟨M2⟩ | ![]() |
![]() |
ℛMS | ℛ7.5 | ℛ15 | ℳ | 𝒟 |
![]() |
![]() |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[pc] | [pc] | [pc] | [km s−1] | [km s−1] | [M⊙] | [M⊙] | [M⊙] | [%] | [%] | ||||||||
Fiducial population | See Sect. 2 | 126 | 584 | 103 | 12.4 | 10.4 | 10.8 | 9.8 | 10.9 | 20.1 | 19.9 | 26.7 | 0.22 | 0.86 | 0.5 | 10.1 | |
Mass transfer efficiency | βRLOF | 0 | 139 | 493 | 98 | 15.1 | 11.6 | 7.7 | 8.6 | 7.6 | 10.3 | 8.7 | 5.8 | 0.23 | 0.86 | 0.3 | 1.5 |
0.5 | 122 | 363 | 111 | 12.8 | 10.5 | 10.2 | 12.0 | 10.1 | 21.7 | 20.7 | 11.0 | 0.22 | 0.87 | 1.2 | 8.6 | ||
1 | 82 | 214 | 80 | 11.2 | 9.8 | 12.1 | 11.9 | 12.1 | 33.0 | 46.9 | 26.6 | 0.21 | 0.87 | 0.7 | 14.7 | ||
Angular momentum loss | γRLOF | γdisk | 72 | 544 | 64 | 10.7 | 9.8 | 10.5 | 6.4 | 10.7 | 22.6 | 59.0 | 53.1 | 0.36 | 0.85 | 0.2 | 7.3 |
1 | 129 | 592 | 104 | 12.6 | 10.5 | 10.8 | 10.0 | 10.9 | 19.3 | 18.5 | 25.3 | 0.22 | 0.86 | 0.6 | 9.9 | ||
Common envelope efficiency | αCE | 0.1 | 126 | 581 | 103 | 12.4 | 10.3 | 10.9 | 11.3 | 10.9 | 23.8 | 19.8 | 26.3 | 0.23 | 0.86 | 0.5 | 10.1 |
10 | 135 | 730 | 103 | 12.7 | 10.5 | 10.6 | 7.5 | 10.9 | 12.6 | 18.7 | 26.5 | 0.16 | 0.84 | 0.5 | 10.0 | ||
Mass ratio for case A merger | qcrit, A | 0.80 | 128 | 593 | 104 | 12.3 | 10.3 | 10.7 | 9.6 | 10.7 | 20.1 | 19.9 | 27.5 | 0.24 | 0.86 | 0.5 | 10.2 |
0.25 | 134 | 637 | 102 | 13.0 | 9.4 | 11.1 | 10.3 | 11.1 | 17.5 | 15.9 | 23.0 | 0.17 | 0.86 | 0.6 | 9.4 | ||
Mass ratio for case B merger | qcrit, B | 1.0 | 100 | 407 | 100 | 9.5 | 10.8 | 8.6 | 3.5 | 8.8 | – | – | – | 0.43 | 0.89 | – | 5.0 |
0.5 | 103 | 717 | 102 | 9.1 | 9.3 | 8.3 | 3.0 | 8.4 | – | – | – | 0.48 | 0.89 | – | 5.0 | ||
0.0 | 167 | 870 | 107 | 13.8 | 10.1 | 10.7 | 9.4 | 10.8 | 12.4 | 11.6 | 24.5 | 0.16 | 0.85 | 0.6 | 10.1 | ||
Mass ratio for case C merger | qcrit, RSG | 1.0 | 123 | 509 | 82 | 14.6 | 11.4 | 9.9 | 8.1 | 10.2 | 7.9 | 9.5 | 17.0 | 0.31 | 0.80 | 0.6 | 6.3 |
Mass ratio for case C merger and | (qcrit, RSG, αCE) | (1.0, 0.1) | 109 | 626 | 79 | 13.3 | 10.5 | 10.4 | 12.3 | 10.3 | 23.7 | 17.7 | 19.4 | 0.41 | 0.82 | 0.5 | 6.4 |
Common Envelope efficiency | (1.0, 10) | 177 | 764 | 91 | 17.9 | 13.2 | 9.6 | 7.9 | 9.9 | 6.0 | 6.8 | 12.2 | 0.18 | 0.78 | 0.7 | 6.4 | |
Natal kick amplitude | σkick (km s−1) | 0 | 66 | – | 66 | 3.8 | 10.2 | 1.6 | – | 1.6 | – | – | – | 0.22 | 0.16 | – | – |
300 | 128 | 572 | 103 | 12.7 | 10.4 | 11.0 | 10.3 | 11.0 | 18.7 | 18.0 | 22.9 | 0.22 | 0.87 | 0.6 | 10.3 | ||
1000 | 132 | 490 | 102 | 13.9 | 10.9 | 11.7 | 13.8 | 11.5 | 13.8 | 12.0 | 11.6 | 0.22 | 0.91 | 1.2 | 11.2 | ||
BH kicks ![]() |
100 km s−1, (fb = 0) | for BH | 2*121 | 2*395 | 2*97 | 2*13.9 | 2*10.7 | 2*12.8 | 2*18.7 | 2*12.4 | 2*13.7 | 2*11.3 | 2*9.0 | 2*0.22 | 2*0.97 | 2*0.1 | 2*12.1 |
265 km s−1 | for NS | ||||||||||||||||
Double maxwellian with ![]() |
30 km s−1 | for MNS ≤ 1.35 M⊙ | 2*105 | 2*423 | 2*87 | 2*12.2 | 2*9.5 | 2*10.2 | 2*14.5 | 2*10.0 | 2*30.0 | 2*17.5 | 2*15.5 | 2*0.22 | 2*0.65 | 2*0.5 | 2*4.9 |
265 km s−1 | for MNS > 1.35 M⊙ | ||||||||||||||||
Restricted kick directions | α < 10 deg | 127 | 582 | 103 | 12.5 | 10.5 | 10.9 | 9.7 | 11.0 | 19.8 | 19.4 | 27.4 | 0.22 | 0.87 | 0.6 | 10.3 | |
90 deg − α < 45 deg | 128 | 572 | 102 | 12.5 | 10.4 | 10.8 | 10.7 | 10.8 | 18.1 | 17.2 | 19.4 | 0.22 | 0.86 | 0.5 | 10.0 | ||
Fallback fraction | fb | 0 | 121 | 395 | 97 | 13.9 | 10.7 | 12.8 | 18.7 | 12.4 | 13.7 | 11.3 | 9.0 | 0.22 | 0.97 | 1.5 | 12.1 |
Period distribution slope | π | −1 | 128 | 581 | 102 | 12.9 | 10.7 | 10.6 | 10.1 | 10.6 | 18.7 | 17.6 | 22.8 | 0.28 | 0.89 | 0.6 | 8.9 |
0 | 120 | 593 | 102 | 11.5 | 9.8 | 10.8 | 9.0 | 10.9 | 23.8 | 26.4 | 35.9 | 0.17 | 0.85 | 0.4 | 10.7 | ||
Initial mass function slope | α | −1.9 | 125 | 554 | 101 | 12.8 | 10.5 | 11.8 | 10.9 | 11.8 | 18.9 | 18.0 | 23.9 | 0.24 | 0.80 | 0.6 | 9.1 |
−3 | 125 | 626 | 104 | 11.7 | 10.1 | 9.6 | 8.3 | 9.6 | 22.6 | 24.2 | 32.7 | 0.20 | 0.93 | 0.5 | 11.6 | ||
Mass ratio slope | κ | −1 | 163 | 629 | 130 | 13.2 | 11.1 | 7.8 | 6.8 | 7.9 | 14.5 | 14.5 | 20.7 | 0.36 | 0.86 | 0.4 | 6.3 |
1 | 99 | 526 | 84 | 11.7 | 9.7 | 13.0 | 12.7 | 13.1 | 28.3 | 27.4 | 33.2 | 0.14 | 0.87 | 0.5 | 12.4 | ||
Metallicity | Z | 0.0002 | 279 | 706 | 163 | 21.6 | 16.9 | 9.2 | 10.8 | 8.9 | 4.4 | 3.7 | 3.0 | 0.15 | 0.77 | 2.6 | 7.7 |
0.0047 | 190 | 718 | 130 | 15.9 | 12.5 | 10.5 | 11.0 | 10.4 | 10.7 | 8.8 | 11.1 | 0.19 | 0.84 | 1.2 | 10.3 | ||
0.008 | 164 | 682 | 123 | 14.4 | 11.9 | 10.5 | 9.9 | 10.6 | 13.7 | 12.8 | 17.4 | 0.21 | 0.84 | 0.1 | 11.0 | ||
0.03 | 109 | 576 | 87 | 11.6 | 9.7 | 11.2 | 9.9 | 11.3 | 22.5 | 21.6 | 32.6 | 0.24 | 0.88 | 0.5 | 10.0 | ||
Initial spin distribution | R-A15 | 126 | 582 | 103 | 12.4 | 10.4 | 10.9 | 9.8 | 10.9 | 20.1 | 19.8 | 26.5 | 0.22 | 0.86 | 0.5 | 10.1 |
Notes. Average distance traveled from the ejection to CC for all massive companions ejected, for massive runaways only, and massive walkaways only (⟨L⟩, ⟨Lrun⟩, ⟨Lwalk⟩), average and median velocity ⟨v⟩ and vmed, average masses for ejected main sequence companions, runaways only, and walkaways only (⟨M2⟩, ,
), produced ratio ℛ of walkaways to runaways for all masses, above 7.5 M⊙, and above 15 M⊙, fraction of all the binaries simulated resulting in a merger ℳ, disruption fraction among the non-merging binaries 𝒟, and fraction of runaways and walkaways with masses larger than 15 M⊙ from the disruption of binaries in a steady state population (
,
).
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