A H ^Λ ₄+n+n model of H ^Λ ₆

A three-body calculation for the HeΛ6 and H^Λ₆ hypernuclei, in which the respective cores are He4 and H^Λ₄, has been initiated. The interactions in the HeΛ6 system are reasonably well known. For example, the Λn interaction is approximately determined by bubble-chamber Λ. p scattering data, the He4 Λ interaction can be fitted to the HeΛ5 binding energy, and the He4 n interaction can be fitted to α. n scattering data. For He4. 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 He6 and Li6, because the interaction comes into play in modeling HeΛ6 as well as in our H^Λ₄+n+n model of H^Λ₆, where the valence neutrons are Pauli blocked from the s-shell of the core.