A HΛ4+n+n model of HΛ6

Abstract

Abstract A three-body calculation for the He Λ 6 and H Λ 6 hypernuclei, in which the respective cores are He 4 and H Λ 4 , has been initiated. The interactions in the He Λ 6 system are reasonably well known. For example, the Λn interaction is approximately determined by bubble-chamber Λ–p scattering data, the He 4 –Λ interaction can be fitted to the He Λ 5 binding energy, and the He 4 –n interaction can be fitted to α–n scattering data. For He 4 –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 He 6 and Li 6 , because the interaction comes into play in modeling He Λ 6 as well as in our H Λ 4 + n + n model of H Λ 6 , where the valence neutrons are Pauli blocked from the s-shell of the core.