Parity-violating $\pi N N$ coupling constant in the chiral quark-soliton model

TL;DR

This paper calculates the parity-violating $ ext{πNN}$ coupling constant using the chiral quark-soliton model, finding it to be around 10^{-8} at 1 GeV, with results sensitive to Wilson coefficients and gluonic effects.

Contribution

It provides a novel calculation of the parity-violating $ ext{πNN}$ coupling constant within the chiral quark-soliton model, incorporating weak Lagrangian and gluonic renormalization effects.

Findings

$h^1_{πNN}$ is about $1 imes 10^{-8}$ at 1 GeV

Results are sensitive to Wilson coefficients

Gluonic renormalization suppresses the coupling constant

Abstract

We investigate the parity-violating $\pi NN$ Yukawa coupling constant $h^1_{\pi NN}$ within the framework of the SU(2) chiral quark-soliton model, based on the $\Delta S=0$ effective weak Lagrangian derived within the same framework. We find that the parity-violating $\pi NN$ coupling constant is about $1\times10^{-8}$ at the scale of 1 GeV. The results of $h_{\pi NN}^1$ turn out to be sensitive to the Wilson coefficient. We discuss how the gluonic renormalization supresses the parity-violating $\pi NN$ coupling constant.