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Table 1

Physical parameters of single and binary evolution in our model and distribution functions of initial binary parameters for the standard model and their variations (used in Sects. 5 and 6).

Name parameter Reference Standard model Variation

η (R75) Eq. (1) 0.5 5
TP-AGB wind Eqs. (2), (3) HPT00 KLP02, R75 (η = 1), B95, VL05
α BH Eq. (6) 1.5 5
B wind Eq. (7) 0.0 103
Q crit,HG a Table 2 0.25 0.5
Q crit,He−stars Table 2 Qcrit,He−HG = Qcrit,HG = 0.25 Qcrit,He−HG = Qcrit,He−GB = 1.28
α ce Eq. (8) 1.0 0.210
CE accretionb Eq. (8) 0.0 0.05 M
λ ce Eq. (9) and Appendix A variable 1
λ ion Eq. (9) and Appendix A 0.0 0.5
σ Eq. (14) 10 1, 20, c
γ RLOF Eq. (15) Md/Ma 2, Ma/Md
γ wind Eq. (15) Ma/Md 2
ηH, ηHe Eqs. B.3 and B.5 HKN96 1
ψ(M1,i) Sect. 2.3 KTG93 S98, K01, C03, B03
φ(qi) Sect. 2.3 x = 0 −1 ≤ x ≤ 1

Notes.

(a)

Only in the case of mass transfer with a non-degenerate accretor.

(b)

Only when the companion is a MS star.

(c)

The symbol implies conservative mass transfer to all types of stars.

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