Strangeness -2 hypertriton

Abstract

We have solved for the first time the Faddeev equations for the bound state problem of the coupled $\Lambda \Lambda N$--$\Xi NN$ system to study whether an hypertriton with strangeness -2 may exist or not. We make use of the interactions obtained from a chiral quark model describing the low-energy observables of the two-baryon systems with strangeness 0, -1, and -2 and three-baryon systems with strangeness 0 and -1. The $\Lambda \Lambda N$ system alone is unbound. However, when the full coupling to $\Xi NN$ is considered, the strangeness -2 three-baryon system with quantum numbers $(I,J^P)=(1/2,1/2^{+})$ becomes bound, with a binding energy of about 0.5 MeV. This result is compatible with the non-existence of a stable ${}_{\Lambda }^3$H with isospin one.

4 pages, 2 tables, accepted for publication in PRL

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• Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD
• Evidence for a Bound H-dibaryon from Lattice QCD
• Quark-model study of few-baryon systems
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• $\Lambda \Lambda N$-$\Xi NN$ $S$ wave resonance
• Neutral baryonic systems with strangeness
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• $\Xi NN$ three-baryon force from SU(3) chiral effective field theory: A femtoscopic study