Table 1
Outcomes of binary evolution for ProCeps and Cepheids.
| Z | Rg | CD | PD | pEC | psoft | phard | pC,coll,in | pC,coll,out | pmma | pACI | pBC,in | pBC,out | pchg | pcmp | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.014 | 4 | Yes | Eq. (1) | 0.30 | 0.19 | 0.07 | 0.48 | 0.36 | 0.25 | − | 0.62 | 0.39 | 0.09 | 0.03 | ||
| 0.014 | 8 | Yes | Eq. (1) | 0.30 | 0.18 | 0.05 | 0.45 | 0.36 | 0.27 | − | 0.62 | 0.34 | 0.08 | 0.03 | ||
| 0.014 | 12 | Yes | Eq. (1) | 0.29 | 0.18 | 0.06 | 0.44 | 0.38 | 0.29 | − | 0.60 | 0.36 | 0.11 | 0.04 | ||
| 0.006 | 8 | Yes | Eq. (1) | 0.26 | 0.16 | 0.05 | 0.43 | 0.39 | 0.15 | − | 0.70 | 0.46 | 0.08 | 0.05 | ||
| 0.002 | 8 | Yes | Eq. (1) | 0.27 | 0.15 | 0.07 | 0.54 | 0.46 | 0.16 | − | 0.62 | 0.49 | 0.09 | 0.06 | ||
| 0.014 | − | No | Eq. (1) | 0.24 | 0.12 | 0.02 | 0.40 | 0.20 | 0.17 | 0.50 | − | 0.05 | ||||
| 0.006 | − | No | Eq. (1) | 0.21 | 0.12 | 0.01 | 0.41 | 0.15 | 0.11 | 0.56 | − | 0.08 | ||||
| 0.002 | − | No | Eq. (1) | 0.23 | 0.11 | 0.03 | 0.45 | 0.21 | 0.14 | 0.56 | − | 0.10 | ||||
| 0.014 | − | No | Eq. (2) | 0.17 | 0.16 | 0.02 | 0.27 | 0.14 | − | 0.59 | − | 0.07 | ||||
Notes. The outcomes are listed as a function of metallicity Z, galactocentric radius of the cluster orbit Rg, cluster dynamics (CD; Yes or No) and the (orbital) period distribution (PD). The values are calculated for the whole population of star clusters of the ECMF of Eq. (4), which spans the initial cluster mass range (50 M⊙, 6400 M⊙). The properties of interest are as follows: pEC - fraction of ExCeps (types I and II combined); psoft - fraction of ProCeps which have softened between time t0 and TAMS; phard - fraction of ProCeps which have hardened between time t0 and TAMS; pC,coll,in, pC,coll,out - fraction of Cepheids (in clusters and in the field respectively) which have coalesced with another star; pmma (mismatched age) - fraction of Cepheids whose age, as calculated from their mass, differs by more than 40% from the age of the cluster (results from binary evolution); pACI - fraction of AdCeps type I (relative to the total number of ProCeps at time 0); pBC,in, pBC,out - fraction of Cepheids (in clusters and in the field respectively) which are in a binary with P < 1010 days; pchg - fraction of binary Cepheids which have a different companion than at time t0; pcmp - fraction of Cepheids with a compact companion.
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