Study of the 18Ne and 11Li nuclei in a three-body model

We investigate the structure of the nuclei 18Ne and 11Li within a three-body model using Faddeev equations with the hyperspherical adiabatic expansion method. The 18Ne system is described as an inert 16O core and two protons. Besides reproducing the experimentally known bound states, two tentative states with Jπ=3+ and 1- are predicted close to the two-proton separation threshold. We also find several low-lying resonances based on a 3- excited state of the core. The 11Li nucleus is treated using a 9Li+n+n model. In this case, the lack of information of the 9Li+n spectrum only allows us to obtain the ground state with enough accuracy. The calculated three-body wavefunction has been used to develop a simplified two-body model of the 11Li nucleus (dineutron model). This model is found to reproduce very well the recent data for the electric transition probability, B(E1)