Fine-tuning of the $\bar{K}NN$ and $\bar{K}\bar{K}N$ quasi-bound state calculations

Abstract

Fine-tuning of the binding energies and widths of the quasi-bound states in three-body systems consisting of antikaon(s) and nucleon(s) was performed. Dynamically exact three-body Faddeev-type AGS equations with three coupled particle channels were solved for the description of the $\bar{K}NN$ and $\bar{K} \bar{K} N$ systems in different spin states. New models of the antikaon-nucleon and pion-nucleon interactions were constructed, and together with our best versions for the remaining potentials were used as input. The characteristics of the quasi-bound $K^- pp$ state calculated with our new one-pole $\bar{K}N - \pi \Sigma - \pi \Lambda$ potential reproduces the experimental data from the E15 J-PARC experiment.