Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations

The Faddeev AGS equations are solved for coupled-channels $\bar{K}NN-\pi \mathrm{\Sigma }N$ system with quantum numbers $I=1\mathrm{/}2$ and $S=0$. Using separable potentials for $\bar{K}N-\pi \mathrm{\Sigma }$ interaction, we have calculated the transition probability for the $(Y_K{)}_{I=0}+N\to \pi \mathrm{\Sigma }N$ reaction. The possibility to observe the trace of $K^{-}pp$ quasi-bound state in the $\pi \mathrm{\Sigma }N$ mass spectra was studied. Various types of chiral based and phenomenological potentials are used to describe the $\bar{K}N-\pi \mathrm{\Sigma }$ interaction. It was shown that not only we can see the signature of the $K^{-}pp$ quasi-bound state in the mass spectra, but also, one can see the trace of branch points in the observables.