Effective Field Theory for Few-Nucleon Systems

Abstract

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact interactions allows a detailed analysis of renormalization in a non-perturbative context and uncovers novel asymptotic behavior. Manifestly model-independent calculations can be carried out to high orders, leading to high precision. At higher energies, an EFT that includes pion fields justifies and extends the traditional framework of phenomenological potentials. The correct treatment of QCD symmetries ensures a connection with lattice QCD. Several tests and prospects of these EFTs are discussed.

55 pages, 18 figures, to appear in Ann. Rev. Nucl. Part. Sci. 52 (2002)

Cited by in corpus (539)

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• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Renormalization group, dimer-dimer scattering, and three-body forces
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
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• Power counting for nuclear forces in chiral effective field theory
• Renormalization of chiral two pion exchange NN interactions with delta excitations: correlations in the partial wave expansion
• An alternative scheme for effective range corrections in pionless EFT
• Effective-field-theory predictions of the muon-deuteron capture rate
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• Effective field theory for triaxially deformed nuclei
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• Convergence of a renormalization group approach to dimer-dimer scattering
• Excitation functions of spin correlation parameters A_{NN}, A_{SS}, and A_{SL} in elastic pp scattering between 0.45 and 2.5 GeV
• Hadronic Parity Violation at Next-to-Leading Order
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• Structure Factors of Neutron Matter at Finite Temperature
• Gluonic Lorentz violation and chiral perturbation theory
• Constraints on Axial Two-Body Currents from Solar Neutrino Data
• Effective interactions and operators in no-core shell model
• ${}_{\Lambda \Lambda }^{6}He$ in cluster effective field theory
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• Deuteron Matrix Elements in Chiral Effective Theory at Leading Order
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Quantum error mitigation for Fourier moment computation
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• Power counting for three-body decays of a near-threshold state
• The Form of the Effective Interaction in Harmonic-Oscillator-Based Effective Theory
• Effective field theory for vibrations in odd-mass nuclei
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Bayesian Analysis of $\chi$EFT at Leading Order in a Modified Weinberg Power Counting Approach
• Toroidal Quadrupole Form Factor of the Deuteron
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters
• Short range correlations - The important role of few-body dynamics in many-body systems
• Effective field theory for deformed odd-mass nuclei
• Hyperon-nucleon single-particle potentials with low-momentum interactions
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• The Long Journey from Ab Initio Calculations to Density Functional Theory for Nuclear Large Amplitude Collective Motion
• Nucleon-nucleon charge symmetry breaking and the dd -> alpha pi0 reaction
• Baryon-baryon interactions from chiral effective field theory
• Three-body systems in physics of cold atoms and halo nuclei
• Elastic Compton Scattering from 3He and the Role of the Delta
• Heavy-baryon chiral perturbation theory approach to thermal neutron capture on ${}^{3}He$
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
• How Macroscopic Limits on Neutron Star Baryon Loss Yield Microscopic Limits on Non-Standard-Model Baryon Decay
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• Cluster effective field theory and nuclear reactions
• Perturbative chiral nucleon-nucleon potential for the ${}^3{P}_0$ partial wave
• Case for quarkyoniclike matter from a constituent quark model
• Chiral Perturbation for Large Momentum Effective Field Theory
• The reaction 2H(p,pp)n in three kinematical configurations at E_p = 16 MeV
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Improved description of light nuclei through chiral effective field theory at leading order
• Proton-proton fusion in lattice effective field theory
• Solution to the sign problem in a frustrated quantum impurity model
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Effective field theory for deformed atomic nuclei
• Finite-range effects in dilute Fermi gases at unitarity
• Solving reaction dynamics with quantum computing algorithms
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Initial-State Coulomb Interaction in the dd -> alpha pi^0 Reaction
• Renormalization group analysis of nuclear current operators
• Effective field theory of boson-fermion mixtures and bound fermion states on a vortex of boson superfluid
• How To Classify 3-Body Forces -- And Why
• Chiral perturbation theory for electroweak reactions on deuterium
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• General aspects of effective field theories and few-body applications
• Two-pion-exchange contributions to the pp\to ppπ^0 reaction
• Universal behaviour of four-boson systems from a functional renormalisation group
• Lattice gas models derived from effective field theory
• Effective short-range interaction for spin-singlet P-wave nucleon-nucleon scattering
• Neutron-Neutron Fusion
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Study of Three-Nucleon Dynamics in the dp breakup collisions using the WASA detector
• Effective field theory of pairing rotations
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Two- and three-body structure of the Y(4660)
• Gauge invariance in the presence of a cutoff
• Few-body universality in the deuteron-alpha system
• Hypernuclei in Halo/Cluster Effective Field Theory
• Coherent collisional decoherence
• A new class of quantum bound states: diprotons in extreme magnetic fields
• Removing the Wigner bound in non-perturbative effective field theory
• Functional renormalisation group for few-nucleon systems: SU(4) symmetry and its breaking
• Effective Field Theories of Light Nuclei
• The $S$ matrices of elastic $\alpha$-${}^{12}$C scattering at low energies in effective field theory
• Subleading contributions to $N$-boson systems inside the universal window
• Baryogenesis and Dark Matter in Multiple Hidden Sectors
• The phases of deuterium at extreme densities
• A resolution of the problem of additional boundary conditions
• Nuclear clusters with Halo Effective Field Theory
• Precision neutron interferometric measurements of the n-p, n-d, and n-3He zero-energy coherent neutron scattering amplitudes
• Applications of the Similarity Renormalization Group to the Nuclear Interaction
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Short-range interactions and narrow resonances in effective field theory
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• Four-boson bound states from a functional renormalisation group
• Spin polarization observables of the deuteron photodisintegration at low energies in pionless effective field theory
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Renormalization of the Off-shell chiral two-pion exchange NN interactions
• Nucleon decay in the deuteron
• A nonperturbative parametrization and scenario for EFT renormalization
• Wave-packet continuum discretisation for nucleon-nucleon scattering predictions
• Effective field theory for collective rotations and vibrations of triaxially deformed nuclei
• A Vision for the Science of Rare Isotopes
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Effective Theories of Dense and Very Dense Matter
• The falsification of Chiral Nuclear Forces
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the sharp resonant $0_3^{+}$ state of ${}^{16}$O
• Pion reactions on two--nucleon systems
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• A Padé-aided analysis of nonperturbative $NN$ scattering in ${}^1{S}_0$ channel
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Neutrino Physics and Nuclear Axial Two-Body Interactions
• Neutron-nucleus dynamics simulations for quantum computers
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering
• Model space truncation in shell-model fits
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• Hadronic interactions and nuclear physics
• Causality bounds for neutron-proton scattering
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Understanding of the BESIII measurement of (anti)hyperon-nucleon scattering
• Theoretical evaluation of solar proton-proton fusion reaction rate and its uncertainties
• Coulomb interactions within Halo Effective Field Theory
• Ab initio models of atomic nuclei: challenges and new ideas
• Effective field theories for collective excitations of atomic nuclei
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Muon capture on the deuteron in chiral effective field theory
• Fermion bag solutions to some sign problems in four-fermion field theories
• Effective range expansion in various scenarios of EFT($\notpi$)
• Higher order fermion effective polynomial interactions
• Matching effective few-nucleon theories to QCD
• Predictiveness of Effective Field Theory in Nuclear Physics
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Intrinsic three-body nuclear interaction from a constituent quark model
• Low-energy operators in effective theories
• Toward scalable quantum computations of atomic nuclei
• Deuteron radial moments for renormalized chiral potentials
• Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
• NuLattice: Ab initio computations of atomic nuclei on lattices
• Strange two-baryon interactions using chiral effective field theory
• Modern topics in theoretical nuclear physics
• Low-Energy Deuteron-Alpha Elastic Scattering in Cluster Effective Field Theory
• Renormalisation-group analysis of electromagnetic couplings in the pionless effective field theory
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Symplectic Effective Field Theory for Nuclear Structure Studies
• Cold atoms beyond atomic physics
• Covariant propagator and chiral power counting
• Two Particles with Zero-Range Interaction in a Magnetic Field
• Chiral Expansion, Renormalization and the Nuclear Force
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in effective field theory
• Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
• Nuclei and chiral dynamics
• Meaning of the nuclear wave function
• Estimating Consequences of 3-Body Forces
• Renormalization group analysis of electromagnetic properties of the deuteron
• Misconceptions on Effective Field Theories and spontaneous symmetry breaking: Response to Ellis' article
• A renormalization method for three-boson system with a triboson field
• Weinberg and few-nucleon forces
• Chiral dynamics of few-nucleon systems
• Contact interactions, self-adjoint extensions, and low-energy scattering
• Is chiral symmetry manifested in nuclear structure?
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics
• Still Few-Nucleon Systems - After So Many Years
• Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory
• Halo EFT calculation of charge form factor for two-neutron ${}^6\text{He}$ halo nucleus: two-body resonant P-wave interaction
• Pion reactions with few-nucleon systems
• Ernest Henley's Isospin and the Ensuing Progress
• Anomalous mapping between pionfull and pionless EFT's
• Nuclear Astrophysics in Rare Isotope Facilities
• Problems in the derivations of the renormalization group equation for the low momentum nucleon interactions
• Nuclear structure study with two- and three-nucleon contact interactions derived within low-energy EFT
• Electromagnetic processes in a $\chi$EFT framework
• One-pion exchange potential in a strong magnetic field
• Neutron-neutron distribution of the triton from pionless EFT
• Auxiliary counterterms and their role in effective field theory
• Charge Symmetry Breaking and Nuclear Pion Production Reactions
• Padé expansion and nucleon-nucleon scattering in coupled channels
• Proton fraction in neutron star matter: Dynamical mean-field approach
• An Effective Field Theory at Finite Density
• Double Lambda He-6 in cluster effective field theory
• Interactions of the deuteron with a hadronic medium
• Higher order effective interactions and effective bosonized model for 2-N particle states
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --
• 'Running' under tight constraints in pionless effective field theory