Three-body forces: From cold atoms to nuclei

Abstract

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field theories and are especially prominent in strongly interacting quantum systems. We focus on three-body forces and discuss examples from atomic and nuclear physics. In particular, we highlight the importance and the challenges of three-nucleon forces for nuclear structure and reactions, including applications to astrophysics and fundamental symmetries.

25 pages, 23 figures, improved discussion and added references, published version

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• Double Beta Decay
• From low-momentum interactions to nuclear structure
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Chiral three-nucleon forces and neutron matter
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Effective Field Theory for Short-Range Forces
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• Spin-dependent WIMP scattering off nuclei
• Nuclear-spin-independent short-range three-body physics in ultracold atoms
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• On the correlation between the binding energies of the triton and the alpha-particle
• Spectra and binding energy predictions of chiral interactions for 7Li
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Effective Field Theory for Dilute Fermi Systems
• Efimov States in Nuclear and Particle Physics
• Measurement of an Efimov trimer binding energy in a three-component mixture of 6Li
• Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Electron and Photon Scattering on Three-Nucleon Bound States
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation
• First direct mass-measurement of the two-neutron halo nucleus 6He and improved mass for the four-neutron halo 8He
• An Infrared Renormalization Group Limit Cycle in QCD
• Electromagnetic two-body currents of one- and two-pion range
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Low-momentum interactions with smooth cutoffs
• Weakly Bound Cluster States of Efimov Character
• The Ay Problem for p-3He Elastic Scattering
• Delta-excitations and the three-nucleon force
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Exploring Three-Nucleon Forces in Lattice QCD
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Four-nucleon force using the method of unitary transformation
• Electric properties of the Beryllium-11 system in Halo EFT
• Saturation from nuclear pion dynamics
• Universality and scaling limit of weakly-bound tetramers
• Momentum space evolution of chiral three-nucleon forces
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Low-Energy Universality in Atomic and Nuclear Physics
• Radiative Neutron Capture on Lithium-7
• Ab-initio computation of neutron-rich oxygen isotopes
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Four-nucleon system with $\Delta$-isobar excitation
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Convergence of the Born Series with Low-Momentum Interactions
• Precise numerical results for limit cycles in the quantum three-body problem
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Chiral thermodynamics of nuclear matter
• Open problems in theory of nuclear open quantum systems
• The Efimov effect for three interacting bosonic dipoles
• The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Field Redefinitions at Finite Density
• Neutron matter at finite temperature
• Momentum-space calculation of four-boson recombination
• Delta Effects in Pion-Nucleon Scattering and the Strength of the Two-Pion-Exchange Three-Nucleon Interaction
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
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Cited by in corpus (248)

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• Measuring the neutron star equation of state using X-ray timing
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• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Neutron matter from chiral effective field theory interactions
• Ab initio limits of atomic nuclei
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• 50 Years of Quantum Chromodynamics
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• Coupled-cluster calculations of nucleonic matter
• Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Equation of state sensitivities when inferring neutron star and dense matter properties
• Local chiral potentials and the structure of light nuclei
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
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• Stable dilute supersolid of two-dimensional dipolar bosons
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• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
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• Nuclear Theory and Science of the Facility for Rare Isotope Beams
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• Multimode photon blockade
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Functional renormalization group studies of nuclear and neutron matter
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Linear response of homogeneous nuclear matter with energy density functionals
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
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