Supersymmetry in a three-body model of halo nuclei

Supersymmetric transformations allow eliminating forbidden bound states from a potential without affecting its scattering properties. They are applied to the core-neutron potential in a three-body model of the 6He, 11Li and 14Be halo nuclei and compared with the pseudo-potential method. The supersymmetric approach provides larger binding energies and smaller radii for these three nuclei. When the core-neutron interaction is readjusted to fit the experimental binding energy, the radii of the halo nuclei obtained with the two methods become very close. The 14Be wave function qualitatively differs in both approaches.