| Summary: | 碩士 === 國立臺灣大學 === 物理學研究所 === 90 === We report the results of the study of two body $B^+$ mesons decay to $\eta h^+$ final states, including $B^+\to\eta K^+$ and
$B^+\to\eta \pi^+$ modes. Two subdecay modes,
$\eta \to {\gamma\gamma}$ and
$\eta \to {\pi^+\pi^-\pi^0}$, have been considered.
This study is performded on a data sample of $29.1$ fb$^{-1}$ with about 31.7$\pm$0.3 M $B \bar B$ events which was
collected by the Belle experiment at KEKB.
The final branching ratios of $B^+\to\eta K^+$ and
$B^+\to\eta \pi^+$ from different types of fits are given. Since the significance of these modes were not great enough, the upper limit with 90$\%$ C.L. were also given. For $\eta K$ and $\eta \pi$ modes, the upper limits are about $8.0\times 10^{-6}$ and $6.5\times 10^{-6}$. Also, we have check the systematic errors and feeddoen problem, the systematic errors are within 4$\%$ and the feeddown problems are acceptable in this analysis.
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