Fine-Tuning of the Quasi-Bound \(K^- pp\) State

Characteristics of the quasi-bound state in the \(K^- pp\) $K^{-}pp$ system strongly depend on the model of antikaon–nucleon interaction and weakly—on the nucleon–nucleon potential. In the present paper, dynamically exact Faddeev-type calculations with coupled \(\bar{K}NN\) $\overline{K}NN$ and \(\pi \varSigma N\) $\pi \Sigma N$ were performed using different models of the \(\varSigma N\) $\Sigma N$ and \(\pi N\) $\pi N$ interactions to study the influence of these “less important” interactions on the three-body result. In addition, dynamically exact three-body Faddeev-type AGS calculations with three coupled particle channels \(\bar{K}NN - \pi \varSigma N - \pi \varLambda N\) $\overline{K}NN-\pi \Sigma N-\pi \Lambda N$ were performed.