Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States

Details Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States

2003-02-20

arxiv.org/abs/nucl-th/0302060v1

Phys.Rev. C67 (2003) 054311

Physics

Nuclear Physics

Nuclear Theory

19 pages, 20 encapsulated PostScript figures

Scientific paper

10.1103/PhysRevC.67.054311

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.

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