Three-body structure of the $nn\Lambda$ system with $\Lambda N-\Sigma N$ coupling

Abstract

The structure of the three-body $nn\Lambda$ system, which has been observed recently by the HypHI collaboration, is investigated taking $\Lambda N-\Sigma N$ coupling explicitly into account. The $YN$ and $NN$ interactions employed in this work reproduce the binding energies of ${}_{\Lambda }^3$H, ${}_{\Lambda }^4$H and ${}_{\Lambda }^4$He. We do not find any ${}_{\Lambda }^{3}n$ bound state, which contradicts the interpretation of the data reported by the HypHI collaboration.

Comments: To be publsihed in PRC as a Rapid communication