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Table 1

Disk parameters employed in this work.

Symbol Definition Fiducial values
t0 Initial time of the disk 0.2 Myr
tf Disk lifetime 5 Myr
M Star mass 1 M
Mg,0 Initial disk mass 0.17 M
Ms,0 Initial solid mass 570 M
Z0 Initial metallicity 0.01
R1 Disk size 100 AU
Inner gas accretion rate 10−7 M yr−1
cs Sound speed 650 m s−1 at 1 AU
γ Viscosity power-index 15/14
ζ Temperature power-index 3/7
α Accretion viscosity coefficient 0.01
at Midplane turbulence 10−4
χ Related to pressure gradient 3.71
St Pebble Stokes number 0.03
Stχ χ ⋅ St 0.11
υf Fragmentation velocity 1 m s−1
ρs Internal density of particles 1 g cm−3
τg Solid growth timescale 0.2 Myr
κ Opacity of the envelope 0.005 m2 kg−1
τth Threshold time 10 Myr
M0 Protoplanet’s initial mass 0.01 M
r0 Protoplanet’s initial position 30–100 AU
t0,p Protoplanet’s formation time 0.2–1.2 Myr

Notes. Fiducial values are evaluated at position R1 and time t0 unless indicated.

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