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Correlations of back-to-back coincident $\Lambda d$ and $\Lambda t$ pairsfrom the stopped $K^-$ reaction on $^4$He had been investigated, thereby$\Lambda d$ and $\Lambda t$ branches of non-mesonic three- and four-nucleonabsorption processes of antikaon at rest were identified as well-separableprocesses, respectively. The branching ratio of the three-nucleon process,($^4$He-$K^-$)$_{atomic} \rightarrow \Lambda d "n"$, is estimated to be $(0.9\pm 0.1 (stat) \pm 0.2 (syst)) \times 10^{-3}$ from the normalized $\Lambda d$spectrum in a $\Lambda d n$ final state, while the fraction of the four-nucleonprocess, ($^4$He-$K^-$)$_{atomic} \rightarrow \Lambda t$, is obtained to be$(3.1 \pm 0.4 (stat) \pm 0.5 (syst)) \times 10^{-4}$ per stopped $K^-$.

Three- and four-nucleon absorption processes observed in the $K^-$-$^4$He reaction at rest