Search for nucleon decay via modes favored by supersymmetric grand unification models in Super-Kamiokande-I

We report the results for nucleon decay searches via modes favored by supersymmetric grand unified models in Super-Kamiokande. Using 1489 days of full Super-Kamiokande-I data, we searched for p ->(nu) over barK(+), n ->(nu) over barK(0), p ->mu K-+(0), and p -> e(+)K(0) modes. We found no evidence for nucleon decay in any of these modes. We set lower limits of partial nucleon lifetime 2.3x10(33), 1.3x10(32), 1.3x10(33), and 1.0x10(33) years at 90% confidence level for p ->(nu) over barK(+), n ->(nu) over barK(0), p ->mu K-+(0), and p -> e(+)K(0) modes, respectively. These results give a strong constraint on supersymmetric grand unification models.