Formulation and Implementation of the Gamow Shell Model

The Gamow shell model formulated in the Berggren basis has all necessary features which allow to describe correlated A-body halo states and resonances. In contrast to the standard shell model, the Gamow shell model respects the flux conservation, i.e., provides unitary description of wave functions in the vicinity and above elastic reaction threshold. By using a configuration mixing framework, the Gamow shell model bears the same generality as the standard shell model, providing a microscopic description of all kinds of nuclei. However, due to the use of unbound states in the one-body basis, a rigorous mathematical foundation of the Gamow shell model is more complicated because resonances do not belong to the Hilbert space.