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

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.

6 pages, 4 figures

References in corpus (21)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Evolution of shell structure in neutron-rich calcium isotopes
• Quantifying truncation errors in effective field theory
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Shell-model calculations and realistic effective interactions
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Momentum space evolution of chiral three-nucleon forces
• Three-body forces and proton-rich nuclei
• Ab initio effective interactions for sd-shell valence nucleons
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Competition between normal and intruder states inside the "Island of Inversion"
• Exploring the "Island of Inversion" by in-beam gamma-ray spectroscopy of the neutron-rich sodium isotopes 31,32,33Na

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