The N to $\Delta$ axial transition form factors in quenched and unquenched QCD

TL;DR

This paper computes the N to Δ axial transition form factors using quenched and unquenched QCD, providing insights into their behavior and testing theoretical relations with implications for understanding nucleon resonance structure.

Contribution

It presents the first comprehensive calculation of N to Δ axial form factors in both quenched and unquenched lattice QCD, including predictions for parity-violating asymmetry.

Findings

Form factors computed down to 360 MeV pion mass.

Validation of the non-diagonal Goldberger-Treiman relation.

Predictions for parity-violating asymmetry as a function of Q^2.

Abstract

The four N to $\Delta$ axial transition form factors are evaluated using quenched QCD, using two flavors of dynamical Wilson fermions and using domain wall valence fermions on three-flavor MILC configurations for pion masses down to 360 MeV. We provide a prediction for the parity violating asymmetry as a function of $Q^2$ and examine the validity of the non-diagonal Goldberger-Treiman relation.