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

References in corpus (48)

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• Theory of ultracold Fermi gases
• Chiral effective field theory and nuclear forces
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Constraints on neutron star radii based on chiral effective field theory interactions
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
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• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
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• In-Medium Similarity Renormalization Group for Nuclei
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Coupled-cluster theory for three-body Hamiltonians
• Nuclear Physics from Lattice QCD
• Radio Frequency Association of Efimov Trimers
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Electromagnetic two-body currents of one- and two-pion range
• Low-momentum interactions with smooth cutoffs
• Delta-excitations and the three-nucleon force
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• 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
• Momentum space evolution of chiral three-nucleon forces
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Radiative Neutron Capture on Lithium-7
• Ab-initio computation of neutron-rich oxygen isotopes
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Four-nucleon system with $\Delta$-isobar excitation
• Convergence of the Born Series with Low-Momentum Interactions
• Energy spectra of small bosonic clusters having a large two-body scattering length
• The Efimov effect for three interacting bosonic dipoles
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Neutron matter at finite temperature
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• 6He beta-decay rate and the suppression of the axial constant in nuclear matter
• Resonant relativistic corrections and the A_y problem

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• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• 50 Years of Quantum Chromodynamics
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
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• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Constraining the dense matter equation of state with new NICER mass-radius measurements and new chiral effective field theory inputs
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• 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
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Ground-State Electromagnetic Moments of Calcium Isotopes
• Microscopic equation of state of hot nuclear matter for numerical relativity simulations
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Breakdown of the Isobaric Multiplet Mass Equation for the A = 20 and 21 Multiplets
• Tunable three-body interactions in driven two-component Bose-Einstein condensates
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Elastic Multi-Body Interactions on a Lattice
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
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• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Search for Quasi Bound $\eta$ Mesons
• Towards the understanding of the genuine three-body interaction for p$-$p$-$p and p$-$p$-\Lambda$
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Three relativistic neutrons in a finite volume
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• Nuclear Reactions from Lattice QCD
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• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
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• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
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• Exploring the strong interaction of three-body systems at the LHC
• Covariant Density Functional Theory with Localized Exchange Terms
• Enlarged Kuramoto Model: Secondary Instability and Transition to Collective Chaos
• $\mathbf{N}=32$ shell closure below calcium: Low-lying structure of ${}^{50}$Ar
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Condensation of Cooper Triples
• Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter
• Effective field theory for triaxially deformed nuclei
• Three-body forces and Efimov physics in nuclei and atoms
• Dispersion relations applied to double-folding potentials from chiral EFT
• Oklo reactors and implications for nuclear science
• One-neutron halo structure of ${}^{29}$Ne
• Effective field theory for vibrations in odd-mass nuclei
• Study of the p$-$p$-$K${}^{+}$ and p$-$p$-$K${}^{-}$ dynamics using the femtoscopy technique
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Multi-Particle Tunneling Transport at Strongly-Correlated Interfaces
• Optimized nuclear energy density functionals including long-range pion contributions
• Scattering Hypervolume of Spin-Polarized Fermions
• Average-fluctuation separation in energy levels in many-particle quantum systems with $k$-body interactions using $q$-Hermite polynomials
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Three-Body Scattering Hypervolume of Particles with Unequal Masses
• Few-Body Route to One-Dimensional Quantum Liquids
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• Mean-field vs RPA calculation of the energy of an impurity immersed in a spin 1/2 superfluid
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• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Direct nonparametric multimessenger constraints on the equation of state of cold dense nuclear matter
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Influence of the effective mass on the properties of nuclear matter at finite density and temperature
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• Statistical Nuclear Spectroscopy with $q$-normal and bivariate $q$-normal distributions and $q$-Hermite polynomials
• Nuclear Physics with Chiral Effective Field Theory: State of the Art and Open Challenges
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• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
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• Muon capture on the deuteron in chiral effective field theory
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• Thermalization in many-fermion quantum systems with one- plus random $k$-body interactions
• Three-body bound states in a harmonic waveguide with cylindrical symmetry
• Three-Nucleon Forces
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• Tripartite quantum Rabi model with trapped Rydberg ions
• Joint Inference of Population, Cosmology, and Neutron Star Equation of State from Gravitational Waves of Dark Binary Neutron Stars
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• Precision measurement of the ${}^{43}$Ca${}^{+}$ nuclear magnetic moment
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
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