Neutral baryonic systems with strangeness

Abstract

We review the status as regards the existence of three- and four-body bound states made of neutrons and $\Lambda$ hyperons. For interesting cases, the coupling to neutral baryonic systems made of charged particles of different strangeness has been addressed. There are strong arguments showing that the $\Lambda nn$ system has no bound states. $\Lambda \Lambda nn$ strong stable states are not favored by our current knowledge of the strangeness $-1$ and $-2$ baryon-baryon interactions. However, a possible ${\Xi }^{-}t$ quasibound state decaying to $\Lambda \Lambda nn$ might exist in nature. Similarly, there is a broad agreement about the nonexistence of $\Lambda \Lambda n$ bound states. However, the coupling to $\Xi NN$ states opens the door to a resonance above the $\Lambda \Lambda n$ threshold.

Invited Review. 22 pages. arXiv admin note: text overlap with arXiv:1911.07194"

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Cited by in corpus (1)

• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory