Cluster models of 6ΛΛHe and 9ΛBe hypernuclei Original Research Article

Configuration space Faddeev calculations are performed for the binding energy of 6ΛΛHe and 9ΛBe bound states, here considered as αΛΛ and ααΛ clusters respectively, in order to study the dependence of the calculated binding energy on the αΛ potential input. For 6ΛΛHe, using realistic interactions, the uncertainty in extracting the ΛΛ1S0 interaction strength does not exceed 0.1 MeV, which is a fraction of the order of magnitude derived for other theoretical uncertainties. For 9ΛBe, the dependence of the calculated binding energy on the αΛ potential is considerably larger, of order 1 MeV. Our results for 9ΛBe suggest that the odd-state αΛ interaction is substantially reduced with respect to the even-state component.