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We performed a search for the decay $K_L^0 rightarrow 3gamma$ with the E391a detector at KEK. In the data accumulated in 2005, no event was observed in the signal region. Based on the assumption of $K_L^0 rightarrow 3gamma$ proceeding via parity-viol ation, we obtained the single event sensitivity to be $(3.23pm0.14)times10^{-8}$, and set an upper limit on the branching ratio to be $7.4times10^{-8}$ at the 90% confidence level. This is a factor of 3.2 improvement compared to the previous results. The results of $K_L^0 rightarrow 3gamma$ proceeding via parity-conservation were also presented in this paper.
We performed a search for a light pseudoscalar particle $X$ in the decay $K_L^0->pi0pi0X$, $X->gammagamma$ with the E391a detector at KEK. Such a particle with a mass of 214.3 MeV/$c^2$ was suggested by the HyperCP experiment. We found no evidence fo r $X$ and set an upper limit on the product branching ratio for $K_L^0->pi0pi0X$, $X->gammagamma$ of $2.4 times 10^{-7}$ at the 90% confidence level. Upper limits on the branching ratios in the mass region of $X$ from 194.3 to 219.3 MeV/$c^2$ are also presented.
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