Three-body models of the 6ΛΛHe and 9ΛBe hypernuclei with non-local interactions Original Research Article

A three-body model involving non-local interactions is developed in configuration space. It is based on a hyperspherical-harmonics expansion and the Lagrange-mesh method. The 6ΛΛHe and 9ΛBe hypernuclei are studied as three-body αΛΛ and ααΛ systems. Recently proposed quark-model based ΛN and ΛΛ interactions are used. A non-local Λα interaction is obtained by folding the ΛN interaction with a Gaussian α density. Various phenomenological αα interactions are employed. The results agree within 1 keV with recent Faddeev calculations in momentum space. Energies and radii of 6ΛΛHe and 9ΛBe are compared with a purely local model. The B(E2) between the 9ΛBe bound states is also calculated. The role of non-locality is discussed.