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

TL;DR

This paper applies the Gamow Shell Model, incorporating complex energy states, to analyze the binding energies and spectra of neutron-rich helium and lithium isotopes, advancing nuclear structure modeling.

Contribution

It introduces a self-consistent Hartree-Fock-based single-particle basis within the Gamow Shell Model for weakly bound and unbound nuclear states.

Findings

Accurate description of neutron-rich helium and lithium isotopes.

Demonstrates the effectiveness of the complex Berggren ensemble.

Provides insights into nuclear states near the particle emission threshold.

Abstract

Recently, the shell model in the complex k-plane (the so-called Gamow Shell Model) has been formulated using a complex Berggren ensemble representing bound single-particle states, single-particle resonances, and non-resonant continuum states. In this framework, we shall discuss binding energies and energy spectra of neutron-rich helium and lithium isotopes. The single-particle basis used is that of the Hartree-Fock potential generated self-consistently by the finite-range residual interaction.