The $Δ(1232)$ axial charge and form factors from lattice QCD

Abstract

We present the first calculation on the $Δ$ axial-vector and pseudoscalar form factors using lattice QCD. Two Goldberger-Treiman relations are derived and examined. A combined chiral fit is performed to the nucleon axial charge, N to $Δ$ axial transition coupling constant and $Δ$ axial charge.

5 pages, 4 figures