Parity-violating nucleon-nucleon interaction from different approaches

TL;DR

This paper compares different theoretical approaches to parity-violating nucleon-nucleon interactions, focusing on two-pion exchange potentials, to understand low-energy constants and the convergence of effective field theories.

Contribution

It provides a comparative analysis of covariant and effective field theory approaches to two-pion exchange parity-violating interactions, highlighting their differences and insights.

Findings

Comparison of potentials from different approaches

Insights into low-energy constants in EFT

Analysis of asymmetries in polarized scattering and capture

Abstract

Two-pion exchange parity-violating nucleon-nucleon interactions from recent effective field theories and earlier fully covariant approaches are investigated. The potentials are compared with the idea to obtain better insight on the role of low-energy constants appearing in the effective field theory approach and the convergence of this one in terms of a perturbative series. The results are illustrated by considering the longitudinal asymmetry of polarized protons scattering off protons, $\vec{p}+p -> p+p$, and the asymmetry of the photon emission in radiative capture of polarized neutrons by protons, $\vec{n}+p -> d+\gamma$.