Abstract

GARCILAZO, H.; VALCARCE, A.  and  VIJANDE, J.. Stable bound states of N’s, Λ ’s and Ξ ’s. Rev. mex. fis. [online]. 2017, vol.63, n.5, pp.411-422. ISSN 0035-001X.

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, $\Lambda np\left(I\right)J^P=(1/2)1/2^{+}$, is bound by 144 keV; the recently discussed $\Lambda nn\left(I\right)J^P=(1/2)1/2^{+}$ system is unbound, as well as the $\Lambda \Lambda nn\left(I\right)J^P=\left(1\right)0^{+}$ 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.

Keywords : Baryon-Baryon interactions; Faddeev equations; variational approaches.

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