On a redundancy in the parity-violating 2-nucleon contact Lagrangian

Abstract

It is shown that the number of independent operators in the nucleon-nucleon parity-violating contact Lagrangian at the leading order in the low-momentum expansion, can be reduced to five, by using Fierz rearrangements of the nucleon fields.

4 pages, one reference added, matches the journal version

References in corpus (16)

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• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Quantum Monte Carlo calculations of neutron-alpha scattering
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Nuclear Parity-Violation in Effective Field Theory
• Generalized Fierz identities
• Simple derivation of general Fierz-type identities
• Ab initio four-body calculation of n-3He, p-3H, and d-d scattering
• Four-body calculation of proton-3He scattering
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• Nucleon-deuteron capture with chiral potentials
• Precision Measurement of PArity Violation in Polarized Cold Neutron Capture on the Proton: the NPDGamma Experiment

Cited by in corpus (39)

• Quantum Monte Carlo methods for nuclear physics
• Nuclear effective field theory: status and perspectives
• Subleading contributions to the three-nucleon contact interaction
• Nuclear Axial Currents in Chiral Effective Field Theory
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• Hadronic Parity Violation
• Electromagnetic Structure of Few-Nucleon Ground States
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• Two parity violating asymmetries from $np\to d\gamma$ in pionless effective field theories
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
• Parity- and time-reversal-violating nuclear forces
• Parity-violating neutron spin rotation in hydrogen and deuterium
• Violations of discrete space-time symmetries in chiral effective field theory
• 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
• On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies
• Parity-violating polarization in $np\to d\gamma$ with a pionless effective field theory
• The parity-violating asymmetry in the 3He(n,p)3H reaction
• Neutron spin rotation in \vec{n}-d scattering
• Parity violation in proton-proton scattering from chiral effective field theory
• Parity Violation in nd Interactions
• Parity violation in low energy neutron deuteron scattering
• 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
• Hadronic Parity Violation at Next-to-Leading Order
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Parity violation in radiative neutron capture on deuteron
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Isotensor Hadronic Parity Violation
• Chiral Electroweak Currents in Nuclei
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Faddeev-type equations for three-body symmetry violating scattering amplitudes
• Polarization of the neutron induced from hadronic weak interactions in the photo-disintegration of the deuteron
• Generalized Fierz Identities and Applications to Spin-3/2 Particles
• Parity nonconserving cold neutron-parahydrogen interactions