Faddeev–Yakubovsky calculations for light ΛΛ hypernuclei

Abstract New Faddeev–Yakubovsky calculations are reported for 6ΛΛHe and 10ΛΛBe in terms of clusters of α's and Λ's, using ΛΛ s-wave potentials motivated by several of the Nijmegen model interactions. The self consistency of the ΛΛ hypernuclear world data for these species is discussed. The newly reported 6ΛΛHe event is found to be compatible with ΛΛ interaction strengths provided by the Nijmegen soft-core one-boson-exchange model NSC97. Faddeev calculations for 5ΛΛH and 5ΛΛHe suggest that these ΛΛ hypernuclei are stable against emitting Λ's for any (essentially attractive) ΛΛ interaction, whereas calcualtions for 4ΛΛH do not allow a clear-cut conclusion whether or not it is particle stable.