The axial N to Delta transition form factors from Lattice QCD

TL;DR

This paper computes the N to Delta axial transition form factors using lattice QCD, providing insights into weak interactions and testing theoretical relations with numerical simulations.

Contribution

It introduces a lattice QCD approach with dynamical fermions to evaluate N to Delta transition form factors and tests the off-diagonal Goldberger-Treiman relation.

Findings

Predicted the ratio C_5^A(q^2)/C_3^V(q^2) relevant to parity violation

Validated the off-diagonal Goldberger-Treiman relation within the lattice framework

Provided numerical results for axial transition form factors in quenched and dynamical settings

Abstract

We evaluate the N to Delta axial transition form factors in lattice QCD in the quenched theory, with two degenerate flavors of dynamical Wilson fermions and using domain wall valence fermions with staggered sea quark configurations. We predict the ratio $C_5^A(q^2)/C_3^V(q^2)$ relevant to the parity violating asymmetry and check the validity of the off-diagonal Goldberger-Treiman relation.