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We investigate the supernova explosions that end the lives of massive Population III stars in low-mass minihalos ( M ~ 10 6 M ☉ ) at redshifts z ~ 20. Employing the smoothed particle hydrodynamics method, we carry out numerical simulations in a cosmological setup of pair-instability supernovae with explosion energies of E SN = 10 51 and 10 53 ergs. Whereas the lower explosion energy leaves part of the halo intact, we find that the more energetic explosion leads to the complete disruption of the gas in the minihalo and expels ≳90% of the stellar metals into a region ~1 kpc across over a timescale of 3-5 Myr. Because of this burstlike initial star formation episode, a large fraction of the universe could have been endowed with a metallicity floor, Z min ≳ 10 -4 Z ☉ , already at z ≳ 15.
Bromm et al. (Mon,) studied this question.