An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering

Abstract

We analyze parity-violating nucleon-nucleon scattering at energies E<m_π^2/M using the effective field theory appropriate for this regime. The minimal Lagrangian for short-range parity-violating NN interactions is written in an operator basis that encodes the five partial-wave transitions that dominate at these energies. We calculate the leading-order relationships between parity-violating NN asymmetries and the coefficients in the Lagrangian and also discuss the size of sub-leading corrections. We conclude with a discussion of further observables needed to completely determine the leading-order Lagrangian.

20 pages, 2 figures, minor changes, version to appear in Nuclear Physics A

References in corpus (7)

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Cited by in corpus (14)

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• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
• Parity violation in low energy neutron deuteron scattering
• A study of the parity-odd nucleon-nucleon potential
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Three-body systems in pionless effective field theory
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Hadronic weak interaction in the two-nucleon system with effective field theories
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications