Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties

TL;DR

This study investigates the properties of sd-shell nuclei using low-resolution two- and three-nucleon interactions with realistic saturation properties, assessing uncertainties and comparing with experimental data.

Contribution

It introduces a comprehensive analysis of sd-shell nuclei with interactions that predict realistic saturation, including uncertainty quantification from various sources.

Findings

Reasonable reproduction of two-neutron and two-proton separation energies.

Overall agreement of first excited 2+ energies with experimental data.

Uncertainty range mainly influenced by Hamiltonian variations.

Abstract

We study ground- and excited-state properties of all sd-shell nuclei with neutron and proton numbers 8 <= N,Z <= 20, based on a set of low-resolution two- and three-nucleon interactions that predict realistic saturation properties of nuclear matter. We focus on estimating the theoretical uncertainties due to variation of the resolution scale, the low-energy couplings, as well as from the many-body method. The experimental two-neutron and two-proton separation energies are reasonably well reproduced, with an uncertainty range of about 5 MeV. The first excited 2+ energies also show overall agreement, with a more narrow uncertainty range of about 500 keV. In most cases, this range is dominated by the uncertainties in the Hamiltonian.