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

TL;DR

This paper demonstrates, through three-body calculations, that a quasi-bound state in the $K^- d$ system exists due to strong interactions, with a small binding energy and a width similar to known states, influenced by nucleon-nucleon potential models.

Contribution

It introduces a new nucleon-nucleon interaction model and predicts a quasi-bound $K^- d$ state, highlighting the impact of $NN$ potential choices on such states.

Findings

Existence of a $K^- d$ quasi-bound state confirmed

Binding energy estimated at 1-2 MeV

Width comparable to $K^- pp$ state (40-60 MeV)

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).