Configuration space Faddeev calculations are performed for the binding energy of 6 ΛΛ He and 9 Λ Be 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 6 ΛΛ He, using realistic interactio
Three-body models of the 6ΛΛHe and 9ΛBe hypernuclei with non-local interactions
✍ Scribed by M. Theeten; D. Baye; P. Descouvemont
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 234 KB
- Volume
- 753
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
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 6 ΛΛ He and 9 Λ Be 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 6 ΛΛ He and 9 Λ Be are compared with a purely local model. The B(E2) between the 9 Λ Be bound states is also calculated. The role of non-locality is discussed.
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