Cluster model of s- and p-shell ΛΛ hypernuclei

The ΛΛ binding energy (B ΛΛ) of the s- and p-shell hypernuclei are calculated variationally in the cluster model and multidimensional integrations are performed using Monte Carlo. A variety of phenomenological Λ-core potentials consistent with the Λ-core energies and a wide range of simulated s-state ΛΛ potentials are taken as input. The B ΛΛ of ΛΛ 6 He is explained and ΛΛ 5 He and ΛΛ 5 H are predicted to be particle stable in the ΛΛ-core model. The results for s-shell hypernuclei are in excellent agreement with those of non-VMC calculations. The ΛΛ 10 Be in ΛΛαα model is overbound for combinations of ΛΛ and Λα potentials. A phenomenological dispersive three-body force, V Λαα, consistent with the B Λ of Λ 9 Be in the Λαα model underbinds ΛΛ 10 Be. The incremental ΔB ΛΛ values for the s- and p-shell cannot be reconciled, consistent with the finding of earlier analyses.