D*ΞNbound state in strange three-body systems

Abstract

The recent update of the strangeness $\ensuremath{-}2$ ESC08c Nijmegen potential incorporating the NAGARA and KISO events predicts a $\mathrm{\ensuremath{\Xi}}N$ bound state, ${D}^{*}$, in the $^{3}S_{1}(I=1)$ channel. We study if the existence of this two-body bound state could give rise to stable three-body systems. For this purpose we solve the bound state problem of three-body systems where the $\mathrm{\ensuremath{\Xi}}N$ state is merged with $N\text{'s}$, $\mathrm{\ensuremath{\Lambda}}\text{'s}$, $\mathrm{\ensuremath{\Sigma}}\text{'s}$, or $\mathrm{\ensuremath{\Xi}}\text{'s}$, making use of the most recent updates of the two-body ESC08c Nijmegen potentials. We found that there appear stable states in the $\mathrm{\ensuremath{\Xi}}NN$ and $\mathrm{\ensuremath{\Xi}}\mathrm{\ensuremath{\Xi}}N$ systems, the $\mathrm{\ensuremath{\Xi}}\mathrm{\ensuremath{\Lambda}}N$ and $\mathrm{\ensuremath{\Xi}}\mathrm{\ensuremath{\Sigma}}N$ systems being unbound.