Abstract
The Gamow shell model (GSM) is a powerful method for the description of the exotic properties of drip line nuclei. Internucleon correlations are included via a configuration interaction framework. Continuum coupling is directly included at basis level by using the Berggren basis, in which, bound, resonance, and continuum single-particle states are treated on an equal footing in the complex momentum plane. Two different types of Gamow shell models have been developed: its first embodiment is that of the GSM defined with phenomenological nuclear interactions, whereas the GSM using realistic nuclear interactions, called the realistic Gamow shell model, was introduced later. The present review focuses on the recent applications of the GSM to drip line nuclei.
Highlights
Progress in Gamow Shell ModelExotic nuclei have been studied for many years using a new generation of accelerators, which are able to reach nuclear drip lines [1,2,3,4]
We have developed realistic Gamow shell model (GSM) with the Berggren basis using a WS potential, while the realistic effective Hamiltonian is constructed within the model space using a nondegenerate Q-box folded-diagram method [38]
GSM is usually performed using a basis generated by a WS potential [5,19,36,37,38,39], whose parameters must be determined by fitting experimental single-particle energies and resonance widths
Summary
Exotic nuclei have been studied for many years using a new generation of accelerators, which are able to reach nuclear drip lines [1,2,3,4]. To accurately reproduce nuclear halos, many-body wave functions in asymptotic regions must be treated properly, which demands to take into account continuum coupling [1,6,7,16,17,18,19] Adding to that, these weakly bound and unbound drip line nuclei provide good laboratories to understand the single-particle structure, continuum coupling, internucleon correlations, and nucleon-nucleon (NN) interactions, which are not well understood in these regions. In 2017, we developed the realistic GSM method with the full Q-box foldeddiagram method using the nondegenerate Berggren basis [38] We applied it to the case of the neutron-rich oxygen isotopes up to the neutron drip line. A short summary of the review and the future challenges of the GSM calculations are given
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