Modeling _Λ~6H as _Λ~6H) + n + n

摘要

We have initiated a three-body calculation for the _Λ~6He and Λ_~6H hypernuclei in which the respective cores are ~4He and _Λ~4H. The interactions in the _Λ~6He system are reasonably known. That is, the An interaction is approximately determined by bubble-chamber data, the ~4He-Λ interaction can be fitted to the _Λ~5He binding energy, and the ~4He-n interaction is "known" - the s-wave being modeled alternatively as a repulsive potential [1] or an attractive potential with a forbidden bound state [2]. We examine the effect of these alternatives on _Λ~6He, because it comes into play also in our _Λ~4H + n + n model of _Λ~6H where the valence neutrons are Pauli blocked from the s-shell of the _Λ~4H core.