Description of bound and unbound many-body systems at the drip-lines

We construct a 1D toy model to describe the structural properties of Borromean nuclei at the continuum threshold. The system is composed by two valence neutrons that are bound thanks to a residual interaction. Different discretization procedures are used (harmonic oscillator, transformed harmonic oscillator, rigid wallbox). The resulting energies and wave functions, as well as transition intensities and resonances are compared within the different discretization techniques.