Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei

Abstract

We study the efficacy of a new ab initio framework that combines the symmetry-adapted (SA) no-core shell-model approach with the resonating group method (RGM) for unified descriptions of nuclear structure and reactions. We obtain ab initio neutron-nucleus interactions for ${}^4$He, ${}^{16}$O, and ${}^{20}$Ne targets, starting with realistic nucleon-nucleon potentials. We discuss the effect of increasing model space sizes and symmetry-based selections on the SA-RGM norm and direct potential kernels, as well as on phase shifts, which are the input to calculations of cross sections. We demonstrate the efficacy of the SA basis and its scalability with particle numbers and model space dimensions, with a view toward ab initio descriptions of nucleon scattering and capture reactions up through the medium-mass region.

10 pages, 6 figures

References in corpus (22)

• Accurate nuclear radii and binding energies from a chiral interaction
• Recent developments in no-core shell-model calculations
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Symmetry-guided large-scale shell-model theory
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Thermal neutron captures on $d$ and ${}^3$He
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
• Electron-scattering form factors for 6Li in the ab initio symmetry-guided framework
• Ab initio calculations of 5H resonant states
• Nuclear Resonances, Scattering and Reactions from First Principles: Progress and Prospects

Cited by in corpus (6)

• Optical potentials for the rare-isotope beam era
• Horizons: Nuclear Astrophysics in the 2020s and Beyond
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Ab initio single-neutron spectroscopic overlaps in lithium isotopes
• Chiral symmetry and peripheral neutron-$\alpha$ scattering