Coupling to the continuous spectrum and HFB approximation Original Research Article

We propose a new method to solve the Hartree–Fock–Bogoliubov equations for weakly bound nuclei whose purpose is to improve the treatment of the continuum when a finite range two-body interaction is used. We replace the traditional expansion on a discrete harmonic oscillator basis by a mixed eigenfunction expansion associated with a potential that explicitly includes a continuous spectrum. We overcome the problem of continuous spectrum discretization by using a resonance expansion.