Three-body models of the ΛΛ6He and Λ9Be hypernuclei with non-local interactions

A three-body model involving non-local interactions is developed in configuration space. It is based on a hyperspherical-hamionics expansion and the Lagrange-mesh method. The He-6(Lambda Lambda) and Lambda Be-9 hypernuclei are studied as three-body alpha Lambda Lambda and alpha alpha Lambda systems. Recently proposed quark-model based Lambda N and Lambda Lambda interactions are used. A non-local Act interaction is obtained by folding the Lambda N interaction with a Gaussian a density. Various phenomenological alpha interactions are employed. The results agree within 1 keV with recent Faddeev calculations in momentum space. Energies and radii Lambda Lambda He-6 and Lambda Be-9, are compared with a purely local model. The B(E2) between the Be-9(Lambda) bound of states is also calculated. The role of non-locality is discussed. (c) 2005 Elsevier B.V. All rights reserved.