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Nucleosynthesis in supernovae and neutrino oscillation

Suzuki, Toshio*; Yoshida, Takashi*; Chiba, Satoshi; Kajino, Toshitaka*

Neutrino-nucleus reaction processes play important roles in synthesis of $$^7$$Li, $$^{11}$$B, $$^{138}$$La, $$^{180}$$Ta and other elements in explosive environments realized in supernovae. We have constructed new shell model Hamiltonians based on recent progress of physics in unstable nuclei near the neutron drip-line. The spin responses of nuclei are found to be remarkably improved by the new Hamiltonians. We then applied these Hamiltonians to calculate the neutrino-nucleus reaction cross sections, and obtained more precise and reliable theoretical estimate of supernova nucleosynthesis of $$^7$$Li, $$^{11}$$B, etc including the neutrino processes. Finally we propose a new method to determine unknown neutrino oscillation parameters, namely the mixing angle $$theta_{13}$$ and the mass hierarchy, by making use of strong dependence of the yields of $$^7$$Li and $$^{11}$$B on these parameters.

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