A representation to describe nuclear processes in the continuum

Bound single-particle states, outgoing resonances and a limited number of scattering states along a path in the complex k-plane (Berggren space) are used as a representation to describe the eigenstates of a realistic nuclear Hamiltonian. It is found that these eigenvectors are contained in the Berggren space, i.e. that the diagonalization of the Hamiltonian provides all the bound states and resonances while the rest of the eigenvalues still remain on the same complex path.