Study of the 18Neand 11LiNuclei in a Three‐body Model

We investigate the structure of the nuclei 18 Ne and 11 Li within a three‐body model using Faddeev equations with the hyperspherical adiabatic expansion method. The 18 Ne system is described as an inert 16 O core and two protons. Besides reproducing the experimentally known bound states, two tentative states with J π = 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 11 Li nucleus is treated using a 9 Li + n + n model. In this case, the lack of information of the 9 Li + 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 11 Li nucleus (dineutron model). This model is found to reproduce very well the recent data for the electric transition probability, B(E1).