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Table 1.

Statistical properties of DWDs with different αCE values in the Galaxy.

Nsim NGal fRL + CE fCE + CE fCE + RL ν Ng < 21 ρ N< 60 min NLISA
(×108) (yr−1) (kpc−3)
αCE = 0.25
Pol model 12156 0.76 79.1% 0.2% 20.7% 0.009 1.08 × 105 939.1 0.22 × 105 1452
Ge’s model 60025 3.53 98.59% 0.04% 1.37% 0.042 5.05 × 104 439.1 2.55 × 105 14098

αCE = 0.5
Pol model 23010 0.83 75.8% 5.7% 18.5% 0.016 1.29 × 105 1121.7 2.21 × 105 11096
Ge’s model 71714 4.34 96.80% 0.05% 3.15% 0.051 9.81 × 104 853.0 2.46 × 105 12940

αCE = 0.75
Pol model 42890 1.26 71.43% 15.71% 12.86% 0.030 1.93 × 105 1678.3 6.43 × 105 25427
Ge’s model 87035 4.55 96.63% 0.16% 3.21% 0.060 1.34 × 105 1165.2 4.03 × 105 19504

αCE = 1.0
Pol model 58789 1.27 49.8% 38.3% 11.9% 0.041 3.08 × 105 2678.3 1.04 × 106 36487
Ge’s model 95045 4.70 96.4% 0.6% 3.0% 0.067 1.55 × 105 1347.8 7.16 × 105 27137

αCE = 1.25
Pol model 72021 1.74 39.10% 52.61% 8.29% 0.050 4.03 × 105 3504.3 1.4 × 106 42479
Ge’s model 103222 4.96 95.95% 1.32% 2.73% 0.072 1.47 × 105 1278.3 9.8 × 105 31147

αCE = 1.5
Pol model 81155 2.07 33.0% 62.7% 4.3% 0.057 4.87 × 105 4234.8 1.70 × 106 45384
Ge’s model 109009 5.11 96.0% 1.7% 2.3% 0.077 1.59 × 105 1382.6 1.34 × 106 37003

αCE = 1.75
Pol model 89422 2.60 29.47% 67.73% 2.80% 0.063 5.91 × 105 5139.1 1.92 × 106 49010
Ge’s model 112830 5.39 95.15% 3.60% 1.25% 0.079 1.99 × 105 1730.4 1.58 × 106 41173

αCE = 2.0
Pol model 95738 3.13 27.60% 70.43% 1.97% 0.067 6.99 × 105 6078.3 2.04 × 106 49632
Ge’s model 116307 5.75 93.91% 5.17% 0.92% 0.082 2.44 × 105 2121.7 1.73 × 106 43255

αCE = 2.25
Pol model 101575 3.66 26.60% 71.57% 1.83% 0.071 8.03 × 105 6982.6 2.14 × 106 49679
Ge’s model 119860 6.21 92.43% 6.70% 0.87% 0.084 3.00 × 105 2608.7 1.82 × 106 43521

αCE = 2.5
Pol model 106727 4.18 26.66% 71.66% 1.68% 0.075 8.98 × 105 7808.7 2.17 × 106 48720
Ge’s model 123088 6.70 90.94% 8.24% 0.82% 0.086 3.54 × 105 3078.3 1.84 × 106 43006

αCE = 2.75
Pol model 110871 4.66 27.30% 71.21% 1.49% 0.078 1.00 × 106 8695.7 2.17 × 106 47370
Ge’s model 125615 7.54 89.73% 9.55% 0.72% 0.088 4.08 × 105 3547.8 1.81 × 106 47936

αCE = 3.0
Pol model 114485 5.12 28.23% 70.44% 1.33% 0.080 1.10 × 106 9565.2 2.14 × 106 45498
Ge’s model 127869 7.60 88.68% 10.68% 0.64% 0.090 4.5 × 105 3913.0 1.71 × 106 46312

Notes. Nsim is the total number of DWDs from 5 × 106 primordial binaries. NGal is the total number of DWDs in the current Galaxy; f means the percentage of the number of DWDs from the corresponding channels; ν is the DWD birth rate; Ng < 21 is the total number of magnitude-limit samples in the simulations; ρ ≡ Ng < 21/Veff is the space density (see Sect. 5.1); N< 60 min is the number of DWDs with orbital periods < 60 min; NLISA is the number of LISA detectable sources (see Sect. 5.4).

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