Table 1.
Summary of the population synthesis models and predicted numbers of MSP binaries detectable with LISA.
| Name | Initial MSP distribution | Age distribution | NMSPbulge | NMSPLISA | fLISA |
|---|---|---|---|---|---|
| Accreted A | MWD ∼ Γ(−4) | T ∼ N(11, 1) | 100 000 (18 000) | 0 (0) | < 1 × 10−5 |
| Accreted B | Porb ∼ log10U(−1, 2) | T ∼ N(11, 1) | 100 000 (18 000) | 1 (0) | 1 × 10−5 |
| Accreted C | MWD ∼ Γ(−4) | Chen & Gnedin (2024) | 100 000 (18 000) | 4 (1) | 4 × 10−5 |
| Accreted D | Porb ∼ log10U(−1, 2) | Chen & Gnedin (2024) | 100 000 (18 000) | 3 (1) | 3 × 10−5 |
| In situ γα | Toonen et al. (2018): αλ = 2, γ = 1.75 | Boissier & Prantzos (1999) | ∼35 000 | 4 | 1 × 10−4 |
| In situ αα | Toonen et al. (2018): αλ = 2 | Boissier & Prantzos (1999) | ∼50 000 | 4 | 8 × 10−5 |
| In situ αα2 | Toonen et al. (2018): αλ = 0.25 | Boissier & Prantzos (1999) | ∼4000 | 3 | 8 × 10−4 |
Notes. For each model, we list the initial MSP binary and age distributions, the total number of binaries in the bulge (NMSPbulge), the number of MSPWD systems detectable with LISA (NMSPLISA), i.e. those with ρ4yr > 7, and the detection fraction fLISA, defined as the ratio of detectable systems to the total modelled bulge population. We use Γ(p) to denote a power-law with exponent p, and N(μ, σ) for a normal distribution.
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