Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction

TL;DR

This paper presents a comprehensive theoretical study of low-energy nuclear structure in even-even nuclei across the nuclear chart using a mapped collective Hamiltonian with the Gogny D1S interaction, providing detailed predictions for a wide range of nuclei.

Contribution

It introduces a systematic approach combining Hartree-Fock-Bogoliubov theory, Generator Coordinate Method, and a 5D collective Hamiltonian to predict nuclear properties for over 1700 nuclei, extending previous models.

Findings

Accurately predicts ground state properties like charge radii and separation energies.

Provides excitation energies and transition matrix elements for numerous nuclei.

Applicable to more than 90% of tabulated nuclei with available experimental data.

Abstract

A systematic study of low energy nuclear structure at normal deformation is carried out using the Hartree-Fock-Bogoliubov theory extended by the Generator Coordinate Method and mapped onto a 5-dimensional collective quadrupole Hamiltonian. Results obtained with the Gogny D1S interaction are presented from dripline to dripline for even-even nuclei with proton numbers Z=10 to Z=110 and neutron numbers N less than 200. The properties calculated for the ground states are their charge radii, 2-particle separation energies, correlation energies, and the intrinsic quadrupole shape parameters. For the excited spectroscopy, the observables calculated are the excitation energies and quadrupole as well as monopole transition matrix elements. We examine in this work the yrast levels up to J=6, the lowest excited 0^+ states, and the two next yrare 2^+ states. The theory is applicable to more than 90% of the nuclei which have tabulated measurements. The data set of the calculated properties of 1712 even-even nuclei, including spectroscopic properties for 1693 of them, are provided in CEA website and EPAPS repository with this article \cite{epaps}.