A 4ΛH+n+n model of 6ΛH

A three-body calculation for the 6ΛHe and 6ΛH hypernuclei, in which the respective cores are 4He and 4ΛH, has been initiated. The interactions in the 6ΛHe system are reasonably well known. For example, the Λn interaction is approximately determined by bubble-chamber Λ–p scattering data, the 4He–Λ interaction can be fitted to the 5ΛHe binding energy, and the 4He–n interaction can be fitted to α–n scattering data. For 4He–n the s-wave can be modeled alternatively as a repulsive potential (Eskandarian and Afnan, 1992 [1]) or as an attractive potential with a forbidden bound state (Lehman, 1982 [2]). We examine the effect of these alternatives on 6He and 6Li, because the interaction comes into play in modeling 6ΛHe as well as in our 4ΛH+n+n model of 6ΛH, where the valence neutrons are Pauli blocked from the s-shell of the core