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

Abstract

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 $N\Xi$, $NN\Xi$, $N\Xi \Xi$ and $NN\Xi \Xi$ systems with maximal isospin are bound. Since in these states the strong decay $N\Xi \to \Lambda \Lambda$ 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 $N$'s and $\Xi$'s in the maximal isospin channel could also be bound.

arXiv comment7 pages

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• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
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• Bound States of $\Omega$ Baryons in Light Nuclei
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory