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arXiv · 2007.07080

Stable bound states of $N$'s, $\Lambda$'s, and $\Xi$'s

H. Garcilazo·A. Valcarce·J. Vijande
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Abstract

We review our recent work about the stability of strange few-body systems containing $N$'s, $\Lambda$'s, and $\Xi$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, $\Lambda np$ $(I)J^P=(1/2)1/2^+$, is bound by 144 keV; the recently discussed $\Lambda nn$ $(I)J^P=(1/2)1/2^+$ system is unbound, as well as the $\Lambda\Lambda nn$ $(I)J^P=(1)0^+$system, being just above threshold. Our results indicate that the $\Xi NN$, $\Xi\Xi N$ and $\Xi\Xi NN$ systems with maximal isospin might be bound.

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H. Garcilazo, A. Valcarce, J. Vijande. 2020-07-12. Stable bound states of $N$'s, $\Lambda$'s, and $\Xi$'s. https://arxiv.org/abs/2007.07080

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