Capture-driven growth model predicts M ≈ 10^5 M_⊙ × (σ/50 km s^{-1})^{2.5}, requiring the M-σ relation to flatten to 2.26 < β < 2.5 below 10^5 M_⊙.
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Efficient mass transfer in binaries naturally limits the mass of the first-born black hole and produces a sharp drop above 45 solar masses that mimics the pair-instability gap.
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The $M$-$\sigma$ Relation Has to Break
Capture-driven growth model predicts M ≈ 10^5 M_⊙ × (σ/50 km s^{-1})^{2.5}, requiring the M-σ relation to flatten to 2.26 < β < 2.5 below 10^5 M_⊙.
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Binary Evolution Can Mimic the Pair-Instability Mass Gap in Black Hole Mergers
Efficient mass transfer in binaries naturally limits the mass of the first-born black hole and produces a sharp drop above 45 solar masses that mimics the pair-instability gap.