$N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors
Abstract
The RQCD collaboration proposed a projection method to remove the excited state contamination in lattice OCD calculations of nuclear form factors. The effectiveness of this method in removing the two-particle nucleon-pion-state contamination is examined using chiral perturbation theory. It is shown that the projection method has practically no impact in the calculation of the axial and induced pseudoscalar form factors. In the pseudoscalar form factor the projection method strongly enhances the nucleon-pion-state contamination. The generalized Goldberger-Treiman relation is satisfied even though large nucleon-pion-state contaminations are present in individual form factors. Therefore, the projection method is not a solution to the excited state problem in nucleon form factor calculations.
Keywords
Cite
@article{arxiv.1912.05873,
title = {$N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors},
author = {Oliver Bar},
journal= {arXiv preprint arXiv:1912.05873},
year = {2020}
}
Comments
17 pages, 5 figures