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 pK^+, nK^0, p^+K^0, and pe^+K^0 modes. We found no evidence for nucleon decay in any of these modes. We set lower limits of partial nucleon lifetime 2. 310^33, 1. 310^32, 1. 310^33, and 1. 010^33 years at 90% confidence level for pK^+, nK^0, p^+K^0, and pe^+K^0 modes, respectively. These results give a strong constraint on supersymmetric grand unification models.