The Theory of Parity Violation in Few-Nucleon Systems

Abstract

We review recent progress in the theoretical description of hadronic parity violation in few-nucleon systems. After introducing the different methods that have been used to study parity-violating observables we discuss the available calculations for reactions with up to five nucleons. Particular emphasis is put on effective field theory calculations where they exist, but earlier and complementary approaches are also presented. We hope this review will serve as a guide for those who wish to know what calculations are available and what further calculations need to be completed before we can claim to have a comprehensive picture of parity violation in few nucleon systems.

69 pages, 10 figures, accepted for publication in Prog. Part. Nucl. Phys

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• Relativistic, model-independent, multichannel $2\to 2$ transition amplitudes in a finite volume
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• First Observation of $P$-odd $\gamma$ Asymmetry in Polarized Neutron Capture on Hydrogen
• Violations of discrete space-time symmetries in chiral effective field theory
• Parity- and time-reversal-violating nuclear forces
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Particle Physics at the European Spallation Source
• Large-N(c) limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• Parity violation in proton-proton scattering from chiral effective field theory
• A study of the parity-odd nucleon-nucleon potential
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Photon asymmetries in $nd\to$ ${}^{3}H\gamma$ using EFT($\pi /!/!/!/$) approach
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Measurement of the Parity-Odd Angular Distribution of Gamma Rays From Polarized Neutron Capture on ${}^{35}$Cl
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications