Aspherical Properties of Hydrodynamics and Nucleosynthesis in Jet-induced Supernovae

Abstract

Jet-induced supernovae (SNe) have been suggested to occur in gamma-ray bursts (GRBs) and highly-energetic SNe (hypernovae). I investigate hydrodynamical and nucleosynthetic properties of the jet-induced explosion of a population III $40_{\odot }$ star with a two-dimensional special relativistic hydrodynamical code. The abundance distribution after the explosion and the angular dependence of the yield are obtained for the models with high and low energy deposition rates ${\dot{E}}_{\mathrm{dep}}=120\times 10^{51}\mathrm{ergs}{\mathrm{s}}^{-1}$ and $1.5\times 10^{51}\mathrm{ergs}{\mathrm{s}}^{-1}$. The ejection of Fe-peak products and the fallback of unprocessed materials in the jet-induced SNe account for the abundance patterns of the extremely metal-poor (EMP) stars. It is also found that the peculiar abundance pattern of a Si-deficient metal-poor star HE 1424--0241 is reproduced by the angle-delimited yield for $\theta =30^{\circ }-35^{\circ }$ of the model with ${\dot{E}}_{\mathrm{dep}}=120\times 10^{51}\mathrm{ergs}{\mathrm{s}}^{-1}$. Furthermore, I compare the yield of the jet-induced explosion with that of the spherical explosion and confirm the ejection and fallback in the jet-induced explosion is almost equivalent to the "mixing-fallback" in spherical explosions. In contrast to the spherical models, however, the high-entropy environment is realized in the jet-induced explosion and thus [(Sc, Ti, V, Cr, Co, Zn)/Fe] are enhanced. The enhancements of [Sc/Fe] and [Ti/Fe] improve agreements with the abundance patterns of the EMP stars.

12 pages, 11 figures. Accepted for publication in the Astrophysical Journal

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