Nucleosynthesis in Jet-induced Supernovae: Connection between Gamma-Ray Bursts and Extremely Metal-Poor Stars

Jet‐induced supernovae (SNe) have been suggested to take place in gamma‐ray bursts (GRBs) and highly‐energetic SNe (hypernovae). I summarize hydrodynamical and nucleosynthetic properties of the jet‐induced explosion of a population (Pop) III 40 M⊙ star. In particular, I present the aspherical effect on nucleosynthetic yield and its dependence on properties of the relativistic jets. Nucleosynthesis in Pop III SNe can be constrained by abundance patterns of extremely metal‐poor (EMP) stars which were formed in the early universe. The jet‐induced SNe acquire favorable features for EMP stars as follows: (1) the ejection of Fe‐peak products and the fallback of unprocessed materials are compatibly realized and (2) the varieties of energy deposition rates in the jet‐induced SNe explains a trend of [C/Fe] in the EMP stars. Furthermore, the variation of energy deposition rates lead the variation of ejected 56Ni(Fe) masses, and thus can explain both GRB‐associated SNe and GRBs without bright SNe, GRBs 060505 and 06...