A new approach to axial coupling constants in the QCD sum rule
T. Nishikawa, S. Saito, Y. Kondo
TL;DR
This paper introduces a novel method for calculating axial coupling constants using QCD sum rules, linking them to nucleon matrix elements of quark and gluon operators, and confirming results align with experimental data.
Contribution
The paper develops new QCD sum rules for axial coupling constants based on two-point correlation functions in a nucleon state, providing improved theoretical predictions.
Findings
Iso-vector axial coupling constants agree with experimental values.
Results for the 8th component of SU(3) octet match observations.
Method offers a new way to connect QCD sum rules with nucleon structure.
Abstract
We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by nucleon matrix elements of quark and gluon operators which are related to the sigma terms and the moments of parton distribution functions. The results for the iso-vector axial coupling constants and the 8th component of the SU(3) octet are in good agreement with experiment.
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