Search for proton decay via p→μ+K0 in Super-Kamiokande I, II, and III

We have searched for proton decay via $p\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{K}^{0}$ using data from a $91.7\text{ }\text{ }\mathrm{kiloton}\ifmmode\cdot\else\textperiodcentered\fi{}\mathrm{year}$ exposure of Super-Kamiokande- I, a $49.2\text{ }\text{ }\mathrm{kiloton}\ifmmode\cdot\else\textperiodcentered\fi{}\mathrm{year}$ exposure of Super-Kamiokande II, and a $31.9\text{ }\text{ }\mathrm{kiloton}\ifmmode\cdot\else\textperiodcentered\fi{}\mathrm{year}$ exposure of Super-Kamiokande III. The number of candidate events in the data was consistent with the atmospheric neutrino background expectation and no evidence for proton decay in this mode was found. We set a partial lifetime lower limit of $1.6\ifmmode\times\else\texttimes\fi{}{10}^{33}\text{ }\text{ }\mathrm{years}$ at the 90% confidence level.