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Search for Nucleon and Dinucleon Decays with an Invisible Particle and a Charged Lepton in the Final State at the Super-Kamiokande Experiment

Search results for nucleon decays $p \rightarrow e^+X$, $p \rightarrow μ^+X$, $n \rightarrow νγ$ (where $X$ is an invisible, massless particle) as well as dinucleon decays $np \rightarrow e^+ν$, $np \rightarrow μ^+ν$ and $np \rightarrow τ^+ν$ 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 $τ_{p \rightarrow e^+X} > 7.9 \times 10^{32}$ years, $τ_{p \rightarrow μ^+X} > 4.1 \times 10^{32}$ years, $τ_{n \rightarrow νγ} > 5.5 \times 10^{32}$ years, $τ_{np \rightarrow e^+ν} > 2.6 \times 10^{32}$ years, $τ_{np \rightarrow μ^+ν} > 2.2 \times 10^{32}$ years and $τ_{np \rightarrow τ^+ν} > 2.9 \times 10^{31}$ years at a $90 \% $ confidence level are obtained. Some of these searches are novel.