@as03b; @as03c; @af03]. Almost all $\bar{\nu}_e$ change to $\nu_{\mu,\tau}$ at the RSF-H resonance and convert to $\nu_e$ at MSW-H resonance. Finally, 30 % and 70 % of the $\bar{\nu}_e$ become $\nu_e$ and $\bar{\nu}_{\mu,\tau}$, respectively. On the other hand, a half of $\nu_{\mu,\tau}$ changes to $\bar{\nu}_e$ at the RSF-H resonance. In vacuum, 30 % and 70 % of the $\nu_{\mu,\tau}$ become $\nu_{\mu,\tau}$ and $\nu_e$, and 30 % and 70 % of the $\bar{\nu}_e$ become $\bar{\nu}_{\mu,\tau}$ and $\bar{\nu}_e$. The conversion probabilities from $\nu_e$ and $\bar{\nu}_{\mu,\tau}$ are the same as in the case that the RSF conversions are not considered.

When we consider mass eigenstates, this conversion is explained more easily. At high density limit, $\bar{\nu}_e$ corresponds to $\nu_2$. The $\nu_2$ relates to the RSF-H, MSW-H, and MSW-L and these resonances are adiabatic. Therefore, all $\bar{\nu}_e$ in high density are $\nu_2$ independent of the density. The $\nu_2$ corresponds to the mixed states of 70 % of $\nu_{\mu,\tau}$ and 30 % of $\nu_e$ in vacuum. The conversion of $\nu_{\mu,\tau}$ is explained similarly. The $\nu_{\mu,\tau}$ in high density correspond to the mixed states of $\nu_1$ and $\bar{\nu}_1$. The $\nu_1$ and $\bar{\nu}_1$ convert each other at RSF-L resonance. However, we do not see any effects at 