Seeding Cores: A Pathway for Nuclear Star Clusters from Bound Star Clusters in the First Billion Years (2503.08779v1)

Abstract: We model the formation of star clusters in a dwarf galaxy progenitor during the first 700 Myr of cosmic history using a cosmological radiation-hydrodynamic simulation with a realistic sub-grid star formation efficiency (SFE) model, derived from AU-scale radiation-MHD simulations of molecular clouds with varying mass, density, and metallicity. Using this model for cloud-scale SFEs, the galaxy forms stars stochastically, assembling most of its $10^6~{\rm M_\odot}$ in stars by redshift $z=8$ through two star-forming bursts (SFBs), each lasting $\sim10~{\rm Myr}$, separated by $80~{\rm Myr}$ of quiescence. Clouds reach SFEs up to $80\%$ during the first SFB, forming bound star clusters (densities $\sim10^{2-4} ~{\rm M_\odot:pc^{-2}}$, radii $\lesssim 3~{\rm pc}$) resembling those observed by the James Webb Space Telescope (JWST) in strongly lensed galaxies. Star clusters follow a flat power-law mass function with slope $\Gamma \sim -0.4$. The most massive star clusters ($10^{4-5} ~{\rm M_\odot}$) grow through mergers and have metallicity spreads of $0.05 - 0.1$ dex that roughly scale with mass. The second SFB forms loosely bound star clusters with higher metallicities: $-1.95 < \log(Z/{\rm Z_\odot}) < -1.50$ at lower SFEs ($2 - 20\%$). At $z \sim 8.7$, a nuclear star cluster (NSC) is seeded, growing $83\%$ of its mass ($ 2.4 \times 10^5 ~{\rm M_\odot}$, $20\%$ of the galaxy's stellar mass) through mergers with pre-existing clusters and the rest through in-situ star formation. The early formation of NSCs has interesting implications for seeding supermassive black holes and the population of "little red dots" recently discovered by JWST at $z \gtrsim 5$.