Search for the Decay $K^0_L \to \pi^0 \nu \bar{\nu}$

We performed a search for the $K^0_L \to \pi^0 \nu \bar{\nu}$ decay at the KEK 12-GeV proton synchrotron. No candidate events were observed. An upper limit on the branching ratio for the decay was set to be $6.7 \times 10^{-8}$ at the 90% confidence level.