Table 1.
Input physics adopted in our calculated binary-population models and predicted fraction of CEMP stars.
| Model set | Qcrit | Wind accretion | Angular-momentum | ai distribution | CEMP | log10 Pf at percentiles | K-S | ||
|---|---|---|---|---|---|---|---|---|---|
| mode | loss | (%) | 2.5% | 50% | 97.5% | p-value | |||
| M1 | H02 | WRLOF | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 5.4 | 2.83 | 4.07 | 5.13 | 0.001 |
| M2 | CH08 | WRLOF | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 6.0 | 2.61 | 3.93 | 5.11 | 0.012 |
| M3 | 106 | WRLOF | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 6.7 | 2.66 | 3.81 | 5.09 | 0.054 |
| M4 | H02 | BHL | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 4.0 | 2.84 | 3.96 | 4.93 | 0.002 |
| M5 | CH08 | BHL | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 4.6 | 2.57 | 3.84 | 4.87 | 0.026 |
| M6 | CH08 | WRLOF | Hydro | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 5.8 | 2.20 | 3.91 | 5.09 | 0.032 |
| M7 | CH08 | WRLOF | Hydro (υw = 7.5 km s−1) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 6.2 | 1.92 | 3.87 | 5.39 | 0.044 |
| M8 | CH08 | WRLOF | BT93 | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 5.5 | 1.65 | 3.41 | 4.88 | 0.773 |
| M9 | CH08 | WRLOF | ΔJ/J = 2 (ΔM/M) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 6.8 | 2.96 | 3.92 | 4.97 | 0.018 |
| M10 | CH08 | BHL | ΔJ/J = 2 (ΔM/M) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 5.1 | 2.00 | 3.63 | 4.55 | 0.294 |
| M11 | CH08 | WRLOF | ΔJ/J = 3 (ΔM/M) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 7.7 | 1.92 | 3.87 | 4.92 | 0.033 |
| M12 | CH08 | WRLOF | ΔJ/J = 6 (ΔM/M) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 10.1 | 1.75 | 3.64 | 4.81 | 0.276 |
| M13 | CH08 | WRLOF | Isotropic wind | Moe & Di Stefano (2017) | 5.0 | 2.62 | 3.99 | 5.18 | 0.006 |
| M14 | CH08 | WRLOF | Isotropic wind | flog P = 0.15, Pi/days 2 [10, 2 × 104] | 6.5 | 2.54 | 3.67 | 4.44 | 0.108 |
| M15 | CH08 | BHL, αBHL = 10 | Isotropic wind | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 7.2 | 2.25 | 4.26 | 5.54 | 0.001 |
| M16 | CH08 | BHL, αBHL = 10 | ΔJ/J = 2 (ΔM/M) | flog P = 0.11, ai/R⊙ ɛ [5, 5 × 106] | 7.5 | 2.01 | 4.06 | 5.36 | 0.005 |
Notes. H02: as defined by Hurley et al. (2002). CH08: table based on the results of Chen & Han (2008). Hydro: fit to hydrodynamical simulations from the literature (Jahanara et al. 2005; Chen et al. 2018; Saladino et al. 2018) as in Eq. (5). BT93: fit to the ballistic simulations of Brookshaw & Tavani (1993) as in Eq. (6). With the exception of M7, all sets assume terminal AGB wind velocity υw = 15 km s−1. All models using the BHL approximation assume αBHL = 1.5, except M15 and M16.
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