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Abstract The determination of low-energy cross sections and branching ratios of the $$\hbox {K}^-$$ K- multi-nucleon absorption processes in $$\Lambda \hbox {p}$$ Λp and $$\Sigma ^0\hbox {p}$$ Σ0p final states performed by the AMADEUS collaboration is presented. Low momentum $$\hbox {K}^-$$ K- ($$p_{\mathrm{K}} \simeq 127\ \hbox {MeV}/\hbox {c}$$ pK≃127MeV/c ) produced at the $$\hbox {DA}\Phi \hbox {NE}$$ DAΦNE collider are impinged on a Carbon target within the KLOE detector and the two and three nucleon absorption processes are disentangled by comparing the experimental data to phenomenological calculations. The $$\Lambda \hbox {p}$$ Λp spectra are interpreted in terms of $$\hbox {K}^{-}$$ K- multi-nucleon absorption processes; the possible contribution of a $$\hbox {K}^{-}\hbox {pp}$$ K-pp bound state is demonstrated to overlap with the two nucleon capture process, its absolute yield thus resulting indistinguishable.