Investigation of the $K^{-}pp$ Bound State via the $K^{-}+{}^3\mathrm{H}\mathrm{e}$ Reaction

Using the four-body Alt-Grassberger-Sandhas (AGS) equations for the $K^{-}ppn$ system, we investigate the possible formation of a $K^{-}pp$ quasi-bound state through the low-energy $K^{-}+{}^3\mathrm{H}\mathrm{e}$ reaction. The neutron missing mass spectrum in the final state was calculated for different models of the $\bar{K}N$ interaction. The results indicate that, irrespective of the specific nature of the $\mathrm{\Lambda }(1405)$ structure or the details of the $\bar{K}N$ interaction model, a signal corresponding to the $K^{-}pp$ quasi-bound state could appear in the $\pi \mathrm{\Sigma }p$ mass spectrum. This supports the feasibility of observing the $K^{-}pp$ cluster in low-energy kaon-induced reactions on helium-3.