Chiral dynamics of few- and many-nucleon systems

Abstract

This review gives a brief introduction to the chiral effective field theory of nuclear forces and atomic nuclei. We discuss the status of the nuclear Hamiltonian derived in this framework and some recent applications in few-nucleon systems. Nuclear lattice simulations as a new tool to address the many-body problem are introduced and some first results based on that method are presented.

39 pages, 13 figures, Commissioned article for Annual Review of Nuclear and Particle Science

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• Chiral effective field theory and nuclear forces
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• The ground state energy at unitarity
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Cited by in corpus (50)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Nuclear effective field theory: status and perspectives
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Chiral three-nucleon force at N^4LO I: Longest-range contributions
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Laser Probing of Neutron-Rich Nuclei in Light Atoms
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Chiral three-nucleon force at N^4LO II: Intermediate-range contributions
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Weinberg's approach to nucleon-nucleon scattering revisited
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory
• Nuclear Currents in Chiral Effective Field Theory
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• Violations of discrete space-time symmetries in chiral effective field theory
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Effective density functionals beyond mean field
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Scale dependence of deuteron electrodisintegration
• How to renormalize integral equations with singular potentials in effective field theory
• Derivative-free optimization for parameter estimation in computational nuclear physics
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Three-body forces and Efimov physics in nuclei and atoms
• Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• One-loop contributions in the EFT for the $\Lambda N\to NN$ transition
• Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
• Measurement of differential cross sections for deuteron-proton breakup reaction at 160 MeV
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Three-pion exchange nucleon-nucleon potentials with virtual $\Delta$-isobar excitation
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Renormalization of pionless effective field theory in the A-body sector
• The longitudinal response function of the deuteron in chiral effective field theory
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Matching effective few-nucleon theories to QCD
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Next-to-leading order effective field theory $\Lambda N\to NN$ potential in coordinate space
• Electromagnetic structure of light nuclei
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Nuclear forces and ab initio calculations of atomic nuclei
• Anomalous mapping between pionfull and pionless EFT's
• Renormalization of One-Pion Exchange in Higher Partial Waves in Chiral Effective Field Theory for Antinucleon-Nucleon System