An unified shell model scheme is introduced that evaluates simultaneously the contributions
of bound single-particle states, Gamow resonances and antibound states to processes
occurring in the continuum part of nuclear spectra. This new scheme allows us to study the
effect of the antibound pole and the remaining part of the complex continuum separately.
The calculations, performed in the complex energy plane, are applied to the study of weakly
bound nuclei. The influence of antibound states upon physical quantities in light as well as …

The generalized Berggren representation treats antibound states on an equal footing with
bound states and resonances. The advantage of this approach is that the effects of the
antibound poles and the complex continuum can be studied separately. In order to show the
power of the method we applied it for shell model problem with two valence neutrons for drip
line nuclei. In the example of 11Li nucleus we generated the bound ground state from the
unbound basis elements and observed that the antibound state is very important in the …