Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory

Abstract

To obtain an understanding of the structure and reactions of nuclear systems from first principles has been a long-standing goal of nuclear physics. In this respect, few- and many-body systems provide a unique laboratory for studying nuclear interactions. During the past decades, the development of accurate representations of the nuclear force has undergone substantial progress. Particular emphasis has been devoted to chiral effective field theory (EFT), a low-energy effective representation of quantum chromodynamics (QCD). Within chiral EFT, many studies have been carried out dealing with the construction of both the nucleon-nucleon ($NN$) and three-nucleon ($3N$) interactions. The aim of the present article is to give a detailed overview of the chiral interaction models that are local in configuration space, and show recent results for nuclear systems obtained by employing these local chiral forces.

References in corpus (25)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Three-body forces: From cold atoms to nuclei
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Updated analysis of NN elastic scattering to 3 GeV
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Confronting gravitational-wave observations with modern nuclear physics constraints
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Roy-Steiner equations for pion-nucleon scattering
• Delta-excitations and the three-nucleon force
• Chiral EFT based nuclear forces: Achievements and challenges
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Four-nucleon force using the method of unitary transformation
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Historical perspective and future prospects for nuclear interactions
• A first estimation of chiral four-nucleon force effects in 4He