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

Understand

We present the first calculation on the $\Delta$ 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 $\Delta$ axial transition coupling constant and $\Delta$ axial charge.