The new possibilities offered
by accelerators of the last generation have allowed for the experimental study of
exotic nuclei lying close to drip-lines, which can be weakly bound or resonant
at ground state level. Contrary to the
nuclei of the valley of stability, they exhibit unique phenomena, such as
halos, cluster emission, and strong isospin-symmetry breaking. Theoretical
treatments must include inter-nucleon correlations and continuum coupling which
demand bound, resonant and scattering states to be treated in a unified manner.
To this end, the real-energy Shell Model Embedded in the Continuum (SMEC) and
the complex-energy Gamow Shell Model (GSM) have been developed for light
nuclei. Indeed, the continuum shell model is the tool of choice to describe
loosely bound and unbound small systems. In order to describe heavy nuclei at the
drip-lines, to which the shell model framework cannot be applied, the Gamow
Hartree-Fock-Bogoliubov (GHFB) model has been introduced, where the HFB
equations are solved using continuous bases of real or complex energies.
Applications pertaining to
reactions involving weakly bound and resonant nuclei will be presented within
SMEC. Topics of importance for light nuclei far from the valley of stability,
such as binding energies, overlap functions, charge radii and direct reaction
cross sections will be considered within the GSM formalism. In particular,
applications purveyed in the context of ab-initio nuclear models will be
addressed. In the context of GHFB, densities of neutron-rich spherical and
axially deformed nuclei will be depicted.