Maximal isospin few-body systems of nucleons and $\mathrm{\Xi }$ hyperons

By using local central Yukawa-type interactions that reproduce the low-energy parameters of the latest updates of the Nijmegen ESC08c potentials, we show that the $N\mathrm{\Xi }, NN\mathrm{\Xi }, N\mathrm{\Xi }\mathrm{\Xi }$, and $NN\mathrm{\Xi }\mathrm{\Xi }$ systems with maximal isospin are bound. Since in these states the strong decay $N\mathrm{\Xi }\to \mathrm{\Lambda }\mathrm{\Lambda }$ is forbidden by isospin conservation, these strange few-body systems will be stable under the strong interaction. These results may suggest that other states with different number of $N\mathrm{s}$ and $\mathrm{\Xi }\mathrm{s}$ in the maximal isospin channel could also be bound.