Abstract
We investigate the formation of the first stars at the end of the cosmic dark
ages with a suite of three-dimensional, moving mesh simulations that directly
resolve the collapse of the gas beyond the formation of the first protostar at
the centre of a dark matter minihalo. The simulations cover more than 25 orders
of magnitude in density and have a maximum spatial resolution of 100 km, which
extends well below the radius of individual protostars and captures their
interaction with the surrounding gas. In analogy to previous studies that
employed sink particles, we find that the Keplerian disc around the primary
protostar fragments into a number of secondary protostars, which is enabled by
H2 collisional dissociation cooling and collision-induced emission. The further
evolution of the protostellar system is characterised by strong gravitational
torques that transfer angular momentum between the secondary protostars formed
in the disc and the surrounding gas. This leads to the migration of about half
of the secondary protostars to the centre of the cloud in a free-fall time,
where they merge with the primary protostar and facilitate its growth to about
five times the mass of the second most massive protostar. By the same token, a
fraction of the protostars obtain angular momentum from other protostars via
N-body interactions and migrate to higher orbits. On average, only every third
protostar survives until the end of the simulation. However, the number of
protostars present at any given time increases monotonically, suggesting that
the system will continue to grow beyond the limited period of time simulated
here.
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