Nucleon and Nucleon to Delta Axial form factors from Lattice QCD

TL;DR

This paper computes nucleon and N to Delta axial form factors using lattice QCD with various fermion formulations, covering a range of momentum transfers and pion masses, providing insights into hadron structure.

Contribution

It presents new lattice QCD calculations of nucleon and N to Delta axial form factors across different fermion actions and pion masses, extending previous studies.

Findings

Form factors computed for momentum transfer squared from 0.1 to 2 GeV^2.

Results obtained for pion masses between 380 and 600 MeV.

Comparison of quenched and unquenched lattice results.

Abstract

We present results on the nucleon axial vector form factors $G_A(q^2)$ and $G_p(q^2)$ in the quenched theory and using two degenerate flavors of dynamical Wilson fermions for momentum transfer squared from about 0.1 to about 2 GeV^2 and for pion masses in the range of 380 to 600 MeV. We also present results on the corresponding N to Delta axial vector transition form factors $C_5^A(q^2)$ and $C_6^A(q^2)$ using, in addition to Wilson fermions, domain wall valence quarks and dynamical staggered sea quarks provided by the MILC collaboration.