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

par Theeten, Marc ;Baye, Daniel Jean ;Descouvemont, Pierre
Référence Nuclear Physics A, 753, 1-2, page (233-248)
Publication Publié, 2005

Article révisé par les pairs

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Résumé :

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 ΛΛ6He and Λ9Be 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 ΛΛ6He and Λ9Be are compared with a purely local model. The B(E2) between the Λ9Be bound states is also calculated. The role of non-locality is discussed. © 2005 Elsevier B.V. All rights reserved.