Light quark pseudoscalar densities and anomaly matrix elements for {\eta} and {\eta}' mesons

TL;DR

This paper uses QCD sum rules to calculate matrix elements of light quark pseudoscalar densities and anomaly operators for the ta and ta' mesons, providing results consistent with existing literature.

Contribution

It presents a novel QCD sum rule analysis of flavor-diagonal pseudoscalar densities and anomaly matrix elements for ta and ta' mesons.

Findings

Matrix elements agree with previous studies

Provides numerical values for pseudoscalar densities

Enhances understanding of ta and ta' structure

Abstract

Matrix elements of flavor-diagonal light quark pseudoscalar densities and axial anomaly operators between vacuum and {\eta} and {\eta}' meson states have been determined. This has been done by evaluating current-current correlators of octet-octet and octet-singlet axial currents using QCD sum rules. The numerical values obtained for the matrix elements compare well with those obtained in the current literature.