On a quasi-bound state in the $K^{-}d$ system caused by strong interactions

Abstract

It was found that $NN$ potential could influence the results of the quasi-bound state search in the $K^{-}d$ system, where the corresponding pole is situated close to the threshold. Three-body Faddeev-type calculations of the $\bar{K}NN-\pi \Sigma N$ system performed with a new model of nucleon-nucleon interaction predict the existence of the quasi-bound $K^{-}d$ state caused by strong interactions. Its binding energy is small ($1-2$ MeV), while the width is comparable with the width of the $K^{-}pp$ quasi-bound state ($40-60$ MeV).

Comments: 8 pages, 2 figures, 4 tables; v2: minor changes in Section 2, additional information about the NN potential in Section 3; accepted to the special issue of Few-Body Systems journal "New Trends in Hadron Physics: a Few-Body Perspective"