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Table 1

Model parameters.

Description Symbol Unit Value/range Reference/comment
second component mass fraction f2 𝒰(0, 0.3) only in model featuring a second particle size includes only the mass of pebbles that are consumed
mass in accreted pebbles mpeb [m] ℒ (1, 103)
primordial belt characteristic mass mbrk [g] ℒ (2 × 1019, 2 × 1022)
mass in primordial belt (planetesimals) mimf [m] ℒ(0.3, 105)
pebble aerodynamic size (Stokes number) τs ℒ (10−4, 1)
second pebble aerodynamic size τ2 ℒ (10−4, 1) only in model featuring a second particle size relative velocity between bodies and pebbles see Equation (8)
pebble relative velocity σ = Δv/vK ℒ (4 × 10−5, 0.1)
−headwind parameter σ = η
−turbulent Mach number σ = ℳh Δv follows a distribution; h is the aspect ratio of the disk and ℳ the turbulence Mach number.

internal density parameter χ 5 × 10−4 Equation (4). Irrelevant for pebble accretion. fraction of bodies in the primordial belt that ends up in P48.
implantation factor fimpl 2 × 10−3

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