Published May 2, 2005 | Version v1
Journal article

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

  • 1. Physique Nucleaire Theorique et Physique Mathematique, C.P. 229, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)
  • 2. Physique Quantique, C.P. 165/82, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)
  • 3. Physique Quantique, C.P. 165/82, Universite Libre de Bruxelles, B-1050 Brussels (Belgium) and Physique Nucleaire Theorique et Physique Mathematique, C.P. 229, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)

Description

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

Additional details

Identifiers

DOI
10.1016/j.nuclphysa.2005.02.129;
PII
S0375-9474(05)00276-9;

Publishing Information

Journal Title
Nuclear Physics. A
Journal Volume
753
Journal Issue
1-2
Journal Page Range
p. 233-248
ISSN
0375-9474
CODEN
NUPABL

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.