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Search results for nucleon decays $p rightarrow e^+X$, $p rightarrow mu^+X$, $n rightarrow ugamma$ (where $X$ is an invisible, massless particle) as well as dinucleon decays $np rightarrow e^+ u$, $np rightarrow mu^+ u$ and $np rightarrow tau^+ u$ in the Super-Kamiokande experiment are presented. Using single-ring data from an exposure of 273.4 kton $cdot$ years, a search for these decays yields a result consistent with no signal. Accordingly, lower limits on the partial lifetimes of $tau_{p rightarrow e^+X} > 7.9 times 10^{32}$ years, $tau_{p rightarrow mu^+X} > 4.1 times 10^{32}$ years, $tau_{n rightarrow ugamma} > 5.5 times 10^{32}$ years, $tau_{np rightarrow e^+ u} > 2.6 times 10^{32}$ years, $tau_{np rightarrow mu^+ u} > 2.2 times 10^{32}$ years and $tau_{np rightarrow tau^+ u} > 2.9 times 10^{31}$ years at a $90 % $ confidence level are obtained. Some of these searches are novel.
Using 0.37 megaton$cdot$years of exposure from the Super-Kamiokande detector, we search for 10 dinucleon and nucleon decay modes that have a two-body final state with no hadrons. These baryon and lepton number violating modes have the potential to pr
A search for dinucleon decay into pions with the Super-Kamiokande detector has been performed with an exposure of 282.1 kiloton-years. Dinucleon decay is a process that violates baryon number by two units. We present the first search for dinucleon de
Searches for a nucleon decay into a charged anti-lepton (e^+ or {mu}^+) plus a light meson ({pi}^0, {pi}^-, {eta}, {rho}^0, {rho}^-, {omega}) were performed using the Super-Kamiokande I and II data. Twelve nucleon decay modes were searched for. The t
The trilepton nucleon decay modes $p rightarrow e^+ u u$ and $p rightarrow mu^+ u u$ violate $|Delta (B - L)|$ by two units. Using data from a 273.4 kiloton year exposure of Super-Kamiokande a search for these decays yields a fit consistent with
The existence of dark matter has been established in astrophysics. However, there are no dark matter candidates in the Standard Model~(SM). If the dark matter particles or their mediator can not interact with SM fermions or gauge bosons, the Higgs bo