Nucleosynthesis in Primordial Hypernovae

We investigate the relationship between explosion energy and nucleosynthesis in Population III supernovae and provide nucleosynthetic results for the explosions of stars with progenitor masses of $15\,\mathrm{M}_\odot$, $20\,\mathrm{M}_\odot$, $30\,\mathrm{M}_\odot$, $40\,\mathrm{M}_\odot$, $60\,\mathrm{M}_\odot$, and $80\,\mathrm{M}_\odot$, and explosion energies between approximately $10^{50}$ erg and $10^{53}$ erg. We find that the typical abundance pattern observed in metal-poor stars are best matched by supernovae with progenitor mass in the range $15\,\mathrm{M}_\odot$ - $30\,\mathrm{M}_\odot$, and explosion energy of $\sim$ ($5$ - $10$) $\times$ $10^{51}$ erg. In these models, a reverse shock caused by jumps in density between shells of different composition serves to decrease synthesis of chromium and manganese, which is favourable to matching the observed abundances in metal-poor stars. Spherically symmetric explosions of our models with progenitor mass $\geq$ $40\,\mathrm{M}_\odot$ do not provide yields that are compatible with the iron-peak abundances that are typically observed in metal-poor stars, however, by approximating the yields that we might expect from these models in highly aspherical explosions, we find indications that explosions of stars $40\,\mathrm{M}_\odot$ - $80\,\mathrm{M}_\odot$ with bipolar jets may be good candidates for the enrichment sources of metal-poor stars with enhanced carbon abundances.