$D^*$ $ΞN$ 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 $ΞN$ bound state, $D^*$, in the $^3S_1 (I=1)$ 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 $ΞN$ state is merged with $N$'s, $Λ$'s, $Σ's$ or $Ξ$'s, making use of the most recent updates of the two-body ESC08c Nijmegen potentials. We found that there appear stable states in the $ΞNN$ and $ΞΞN$ systems, the $ΞΛN$ and $ΞΣN$ systems being unbound.

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