Shock propagation and neutrino oscillation in supernova

Abstract

The effect of the shock propagation on neutrino oscillation in supernova is studied paying attention to evolution of average energy of $ν_{e}$ and $\barν_{e}$. We show that the effect appears as a decrease in average $ν_{e}$ (in case of inverted mass hierarchy, $\barν_{e}$) energy at stellar surface as the shock propagates. It is found that the effect is significant 2 seconds after bounce if $3 \times 10^{-5} < \sin^{2}{θ_{13}} < 10^{-2}$.