Nonexistence of a $\Lambda nn$ bound state

Abstract

It has been recently suggested the existence of a neutral bound state of two neutrons and a $\Lambda$ hyperon, ${}_{\Lambda }^{3}n$. We point out that using either simple separable potentials or a full-fledged calculation with realistic baryon-baryon interactions derived from the constituent quark cluster model there is no possibility for the existence of such a $\Lambda nn$ bound state. For this purpose, we performed a full Faddeev calculation of the $\Lambda nn$ system in the $(I,J^P)=(1,1/2^{+})$ channel using the interactions derived from the constituent quark cluster model which describe well the two-body $NN$ and $NY$ data and the $\Lambda np$ hypertriton.

5 pages

References in corpus (4)

• Constituent quark model study of the meson spectra
• Quark-model study of few-baryon systems
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves

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