$D^{\ast }$ $\Xi N$ bound state in strange three-body systems

Abstract

The recent update of the strangeness $-2$ ESC08c Nijmegen potential incorporating the NAGARA and KISO events predicts a $\Xi N$ bound state, $D^{\ast }$, 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 $\Xi N$ state is merged with $N$'s, $\Lambda$'s, ${\Sigma }^{\prime }s$ or $\Xi$'s, making use of the most recent updates of the two-body ESC08c Nijmegen potentials. We found that there appear stable states in the $\Xi NN$ and $\Xi \Xi N$ systems, the $\Xi \Lambda N$ and $\Xi \Sigma N$ systems being unbound.

Comments: 16 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1605.04108