%0 Journal Article %T Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States %A N. Michel %A W. Nazarewicz %A M. Ploszajczak %A J. Okolowicz %J Physics %D 2003 %I arXiv %R 10.1103/PhysRevC.67.054311 %X We present the study of weakly bound, neutron-rich nuclei using the nuclear 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 (Woods-Saxon) potential and a residual two-body interaction. We discuss the basic ingredients of the Gamow Shell Model. The formalism is illustrated by calculations involving {\it several} valence neutrons outside the double-magic core: $^{6-10}$He and $^{18-22}$O. %U http://arxiv.org/abs/nucl-th/0302060v1