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 M _ { \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 } _ { dep } = 120 \times 10 ^ { 51 } ergs s ^ { -1 } and 1.5 \times 10 ^ { 51 } ergs 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 } _ { dep } = 120 \times 10 ^ { 51 } ergs 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 .