Supersymmetry in a three-body model of halo nuclei

Supersymmetric transformations allow eliminating forbidden bound states fro m a potential without affecting its scattering properties. They are applied to the core-neutron potential in a three-body model of the He-6, Li-11 and Be-14 halo nuclei and compared with the pseudo-potential method. The super symmetric approach provides larger binding energies and smaller radii for t hese three nuclei. When the core-neutron interaction is readjusted to fit t he experimental binding energy, the radii of the halo nuclei obtained with the two methods become very close. The Be-14 wave function qualitatively di ffers in both approaches. (C) 1999 Elsevier Science B.V. All rights reserve d.