Abstract

A three-body calculation for the $${^4_{\Lambda} \rm{He}}$$ and $${^6_{\Lambda}{\rm H}}$$ hypernuclei has been undertaken. The respective cores are $${^4_{\Lambda}{\rm H}}$$ . The interactions in the $${^6_{\Lambda}{\rm He}}$$ system, modeled as $${^4_{\Lambda} {\rm H+p+n}}$$ , are reasonably well known. For example, the p n interaction is well determined by the p n scattering data, the $${^4_{\Lambda}{\rm H}}$$ –p interaction can be fitted to the $${^5_{\Lambda}{\rm He}}$$ binding energy. The $${^4_{\Lambda}{\rm He}}$$ –n interaction can be fitted to α–n scattering data. For the 4He–n system the s-wave can be modeled alternatively as a repulsive potential or as an attractive potential with a forbidden bound state. We explore these alternatives in 6He, because the interaction comes into play in modeling $${^6_{\Lambda}{\rm He}}$$ as well as in our $${^4_{\Lambda}{\rm H}}$$ + n + n model of $${^6_{\Lambda}{\rm H}}$$ , where the valence neutrons are Pauli blocked from the s-shell of the core nucleus.

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