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Table A.2

Parameters of the stellar atmosphere models calculated for the 50 M track with Z = 0.05 Z (Marchant et al. 2016).

Model MII 1 MII 2 MII 3 MII 4 MII 5
a b a b a b

Spectral type O3 V((f*)) Of/WN WN2.5 WN2 WN2
age [106 yr] 0.11 5.07 5.36 5.54 5.83
T [kK] 50.4 66.5 70.3 100.0 150.0
log L [L] 5.53 6.05 6.10 6.15 6.16
M [M] 50.1 46.4 44.3 42.2 35.4
R [R] 7.7 8.0 7.6 4.0 1.8
log  [M/ yr] –6.7 –5.3 –5.0 –5.5 –4.7 –5.2 –4.7 –5.1
ν [km s-1] 2790 1600 1600 2400 3000
νrot [km s-1] 433 335 270 285 253
νorbit [km s-1] 513 453 423 394 322
X H 0.75 0.17 0.1 0.05 0.0
XC [10-3] 0.15 0.01 0.01 0.01 2.12
XN [10-3] 0.04 0.54 0.54 0.54 1.22
XO [10-3] 0.4 0.01 0.01 0.01 0.06

MU [mag] –6.2 –6.6 –6.5 –6.6 –5.8 –5.7 –5.0 –4.6
MB [mag] –5.0 –5.4 –5.3 –5.3 –4.6 –4.4 –3.9 –3.3
MV [mag] –4.7 –5.0 –5.0 –5.0 –4.3 –4.1 –3.7 –3.0
MJ [mag] a –3.9 –4.3 –4.4 –4.2 –4.0 –3.3 –3.8 –2.4
MH [mag] a –3.8 –4.3 –4.4 –4.2 –4.2 –3.2 –4.1 –2.4
MK [mag] a –3.6 –4.3 –4.5 –4.0 –4.5 –3.1 –4.5 –2.5
log QH [s-1] 49.3 49.9 50.0 50.0 50.0 50.0 49.9 49.9
TZanstra,H [kK] 53.7 72.5 76.6 81.1 95.7 113.5 105.9 149.7
log QHe i [s-1] 48.9 49.6 49.7 49.7 49.8 49.8 49.8 49.8
log QHe ii [s-1] 45.9 47.1 47.5 47.2 48.7 48.4 49.3 49.3
TZanstra,He [kK] 48.0 58.9 63.4 60.8 97.4 92.5 135.9 159.3

P [d] 0.9 1.2 1.4 1.7 5.1
orbital separation [R] 18.1 21.5 23.6 26.0 32.6

Model atom setb I II II II III

Wind accretion rates and accretion X-ray luminosityc

log Saccr [M/ yr] –6.9 –7.4 –7.4 –7.9 –8.0 –8.4
s accr d 1.3 0.4 0.4 0.1 0.1 0.04
LX [erg s-1]f 7 × 1038 2 × 1038 2 × 1038 7 × 1037 6 × 1037 2 × 1037

Notes. The WN models were calculated with two different mass-loss rates. The “a” models use the same mass-loss rate as given in the tracks, assuming a metallicity scaling of Z0.85 as is observed for O-type stars. The mass-loss rate of the “b” models was scaled according to the mass-loss metallicity relation presented by Hainich et al. (2015).

(a)

Monochromatic magnitudes at 1.26 μm, 1.60 μm, and 2.22 μm, respectively.

(b)

Model atom set used in the corresponding stellar atmosphere calculations (see Table A.1).

(c)

The evolution model predicts BH formation only if the secondary is already in its final evolutionary stage (see text for details). Accretion onto a 36 M BH is assumed.

(d)

Accretion rate normalized to the Eddington accretion rate: (see Sect. 5.2 for details).

(f)

Upper limit since an accretion efficiency of 0.1 is assumed.

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