The old and the new of parity-violating two-pion-exchange $NN$ potential

TL;DR

This paper compares traditional covariant and modern effective field theory approaches to the parity-violating two-pion-exchange nucleon-nucleon potential, analyzing its behavior and implications for neutron-proton radiative capture asymmetry.

Contribution

It provides a comparative analysis of two different theoretical frameworks for the parity-violating two-pion-exchange potential and discusses their implications for observable asymmetries.

Findings

Behavior of the potential in coordinate space analyzed

Application to parity-violating asymmetry in neutron-proton capture discussed

Comparison highlights differences between covariant and EFT approaches

Abstract

We consider the parity-violating two-pion-exchange potential obtained from the covariant formalism in the past and the state-of-the-art effective field theory approach. We discuss the behavior of the potential in coordinate space and its application to the parity-violating asymmetry in $\vec{n} p \to d \gamma$ at threshold.