Effective Field Theory of Nuclear Forces

Abstract

The application of the effective field theory (EFT) method to nuclear systems is reviewed. The roles of degrees of freedom, QCD symmetries, power counting, renormalization, and potentials are discussed. EFTs are constructed for various energy regimes of relevance in nuclear physics, and are used in systematic expansions to derive nuclear forces in terms of a number of parameters that embody information about QCD dynamics. Two-, three-, and many-nucleon systems, including external probes, are considered.

83 pages, 20 figures, commissioned for Prog. Part. Nucl. Phys

References in corpus (1)

• Effective theory for the two-nucleon system

Cited by in corpus (207)

• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Effective Field Theory for Few-Nucleon Systems
• Nuclear weak-interaction processes in stars
• Coupled-cluster computations of atomic nuclei
• Nuclear effective field theory: status and perspectives
• Cloud Quantum Computing of an Atomic Nucleus
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Renormalization of One-Pion Exchange and Power Counting
• Symmetry Energy II: Isobaric Analog States
• Towards a Perturbative Theory of Nuclear Forces
• Effective Theory of the Triton
• Local three-nucleon interaction from chiral effective field theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Structure of the lightest tin isotopes
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Meson production in nucleon--nucleon collisions close to the threshold
• Shell-model calculations and realistic effective interactions
• The nucleon-nucleon interaction
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Singular Potentials and Limit Cycles
• Chiral 2pi exchange at order four and peripheral NN scattering
• The deuteron: structure and form factors
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Origin of the anomalous long lifetime of 14C
• Constraints on the Variations of the Fundamental Couplings
• Coupled cluster calculations of ground and excited states of nuclei
• Coupled cluster approach to nuclear physics
• Charge Symmetry Breaking and QCD
• Neutrino Reactions on Deuteron
• Spectra and binding energy predictions of chiral interactions for 7Li
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Effective Field Theory for Dilute Fermi Systems
• Subleading contributions to the three-nucleon contact interaction
• Electron and Photon Scattering on Three-Nucleon Bound States
• Renormalizing Chiral Nuclear Forces: Triplet Channels
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Neutrino-deuteron reactions at solar neutrino energies
• A renormalisation group approach to two-body scattering in the presence of long-range forces
• Ab initio coupled-cluster study of 16-O
• A two-neutron halo is unveiled in ${}^{29}$F
• Are Occupation Numbers Observable?
• Range Corrections to Doublet S-Wave Neutron-Deuteron Scattering
• Short-range nuclear forces in singlet channels
• Chiral Three-Nucleon Forces from p-wave Pion Production
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Renormalization of Singular Potentials and Power Counting
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to 6Li and 10B
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Coupled-cluster calculations for valence systems around O-16
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Universality in the Three-Body Problem for 4He Atoms
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Precision measurement of the mass difference between light nuclei and anti-nuclei
• Electromagnetic Structure of the Z_c(3900)
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Living on the edge of stability, the limits of the nuclear landscape
• Four-nucleon system with $\Delta$-isobar excitation
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Hyperons: the strange ingredients of the nuclear equation of state
• The ${\mu }^{-}d$ capture rate in effective field theory
• Charge Symmetry Violation in $pn\to d{\pi }^0$ as a Test of Chiral Effective Field Theory
• Deuteron Compton scattering below pion photoproduction threshold
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• A renormalized equation for the three-body system with short-range interactions
• Elastic electron-deuteron scattering in chiral effective field theory
• Effective chiral theory of nucleon-nucleon scattering
• Microscopic optical potentials for calcium isotopes
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• On the scattering of D and D* mesons off the X(3872)
• The Hypertriton in Effective Field Theory
• Effective field theory for nuclear vibrations with quantified uncertainties
• The Theory of Parity Violation in Few-Nucleon Systems
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
• Solar-neutrino reactions on deuteron in effective field theory
• Efimov Physics and Connections to Nuclear Physics
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• Fusion cross-section for Ni-based reactions within the relativistic mean field formalism
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
• Field Redefinitions at Finite Density
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• The Nucleon Anapole Form Factor in Chiral Perturbation Theory to Sub-leading Order
• Hyperon-nucleon scattering and hyperon masses in the nuclear medium
• Toward convergence of effective field theory simulations on digital quantum computers
• Power counting in chiral effective field theory and nuclear binding
• The structure of nuclear systems derived from low momentum nucleon-nucleon potentials
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Towards a consistent approach to nuclear structure: EFT of two- and many-body forces
• Chiral NN model and Ay puzzle
• Building light nuclei from neutrons, protons, and pions
• Relativity constraints on the two-nucleon contact interaction
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
• Quantum Monte Carlo with Coupled-Cluster wave functions
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• $\Lambda N\to NN$ weak interaction in effective field theory
• The Solar $Hep$ Process
• Renormalized Path Integral for the Two-Dimensional Delta-Function Interaction
• Elastic e-d Scattering Data and the Deuteron Wave Function
• Consistency of the effective-field-theory approach to the nucleon-nucleon interaction problem revisited
• Microscopic Nuclear Structure Based upon a Chiral NN Potential
• Effective Field Theory for Fermi Systems in a large N expansion
• Renormalization of ${}^1{S}_0$ NN scattering amplitude in effective field theory
• Nuclear forces from chiral EFT: The unfinished business
• Nonperturbative Yukawa theory at finite density and temperature
• Homogeneous versus Spiral Phases of Hole-doped Antiferromagnets: A Systematic Effective Field Theory Investigation
• Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Effective Field Theory of Nucleon-Nucleon Scattering on Large Discrete Lattices
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Do we know how to count powers in pionless and pionful effective field theory?
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Chiral potential renormalized in harmonic-oscillator space
• Modelling nucleon-nucleon scattering above 1 GeV
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• Nuclear Effective Field Theories: Reverberations of the early days
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• Parity-Violating Electron-Deuteron Scattering
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• Unitary ambiguity of NN contact interactions and the 3N force
• Counter Terms for Low Momentum Nucleon-Nucleon Interactions
• Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
• Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
• Bayesian probability updates using Sampling/Importance Resampling: Applications in nuclear theory
• Nonlocality of the NN interaction in an effective field theory
• Constraining nuclear matter parameters from correlation systematics:a mean-field perspective
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Constraints on subleading interactions in beta decay Lagrangian
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Effective field theory for vibrations in odd-mass nuclei
• Consideration of Nuclear Forces from the Viewpoint of the Renormalization Group - Relation of Nuclear Forces between Phenomenological Approach and Nuclear Effective Field Theory -
• An EFT for the weak $\Lambda N$ interaction
• Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• The Axial-Vector Current in Nuclear Many-Body Physics
• Reactant-Product Quantum Coherence in Electron Transfer Reactions
• Three-body systems in physics of cold atoms and halo nuclei
• Elastic Antiproton-Nucleus Scattering from Chiral Forces
• Multi-fermion systems with contact theories
• Computational Nuclear Physics and Post Hartree-Fock Methods
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Nuclear Spin-Isospin Correlations, Parity Violation, and the $f_{\pi }$ Problem
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Chiral perturbation theory for electroweak reactions on deuterium
• Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
• A Two Potential Formula and its Application to Proton-Proton Scattering
• Conference Discussion of the Nuclear Force
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Effective Field Theories of Light Nuclei
• Complex-mass shell renormalization of the higher-derivative electrodynamics
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Effective field theory of pairing rotations
• A new class of quantum bound states: diprotons in extreme magnetic fields
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Masses of Fermions in Supersymmetric Models
• Few Body Reserch - Summary
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• On the sensitivity of the D parameter to new physics
• Recent advances in the theory of nuclear forces
• A Vision for the Science of Rare Isotopes
• Model space truncation in shell-model fits
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Introduction - Strong interaction in the nuclear medium: new trends
• Role of Three-Nucleon Forces in Neutron-Rich Nuclei Beyond 132Sn
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Causality bounds for neutron-proton scattering
• A Mesonic Analog of the Deuteron
• Comparison of the extended linear sigma model and chiral perturbation theory
• Sensitivity analysis of random two-body interactions
• Ab initio models of atomic nuclei: challenges and new ideas
• The $1/N_c$ expansion in hadron effective field theory
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Dilute Nuclear Matter in Chiral Perturbation Theory
• Modern topics in theoretical nuclear physics
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Universality and tails of long range interactions in one dimension
• Two-Body Triton Photodisintegration and Wigner-SU(4) Symmetry
• Electromagnetic processes in a $\chi$EFT framework
• Ernest Henley's Isospin and the Ensuing Progress
• Effective Field Theory for Bulk Properties of Nuclei
• On a q-analogue of the spin-orbit coupling