Table 2
Comparison of the strong-lensing statistics of two representative samples of dark matter haloes (M > 5 × 1012 M⊙/h, z ∈ [0,1] ) including and excluding cluster mergers, adopting a WMAP7 cosmology and a constant source redshift zs = 2.0.
| Single haloes | Merging haloes | |
|
|
||
| max(θE,eff) |
|
|
| N(θE,eff ≥ 10″) | 4132 | 5622(+ 36%) |
| N(θE,eff ≥ 20″) | 133 | 231(+ 74%) |
| τ(θE,eff > 10″) | 2.9 × 10-7 | 4.2 × 10-7(+ 45%) |
| τ(θE,eff > 20″) | 3.3 × 10-8 | 6.1 × 10-8(+ 85%) |
We show the maximum effective Einstein radius max(θE,eff) including the observation redshift zobs of the corresponding lens system, the number of Einstein radii above a certain threshold X, N(θE,eff ≥ X), and the optical depth (for gravitational arcs, see Eq. (35)) of all haloes with Einstein radii above the threshold X, τ(θE,eff > X).
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