Description of the structure of weakly bound/unbound correlated quantum systems

Marek Ploszajczak,
GANIL, CEA/DSM-CNRS/IN2P3/ BP 5027, F-14076 Caen Cedex 05, France

Weakly bound or unbound correlated many-body systems, such as small droplets of neutral atoms or atomic nuclei far from the valley of stability, can be studied using shell model employing the complex Berggren ensemble representing the bound single-particle states, unbound Gamow states, and the non-resonant continuum. In the proposed Gamow Shell Model, the Hamiltonian consists of a one-body finite depth potential and a residual two-body interaction. The first application of this new formalism will be illustrated on the example of halo systems in weakly bound neutron-rich nuclei.