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Hyper-Kamiokande is a next generation underground water Cherenkov detector based on the highly successful Super-Kamiokande experiment. It will be capable of observing - far beyond the sensitivity of the Super-Kamiokande detector - proton decay, atmospheric neutrinos, and neutrinos from astronomical sources. It will also serve as a far detector, 295km away, of a long baseline neutrino experiment for the upgraded J-PARC beam.  Further to the detector planned size of more than one order of magnitude larger than predecessor experiments, its improved photon yield will enable superior signal efficiency and background rejection. This presentation will describe the physics potential of Hyper-Kamiokande's for some searches of Dark Mater and, mostly, for nucleon decay. This will be illustrated with the relevant decay modes $p \rightarrow e^+ \pi^0$ and $p \rightarrow \nu K^+$.

Potential of Hyper-Kamiokande at some non-Accelerator Physics and Nucleon Decay Search Programs