New Sum Rule Determination of the Nucleon Mass

TL;DR

This paper introduces a new QCD sum rule method using a polynomial kernel to accurately determine the nucleon mass, reducing uncertainties associated with previous approaches and achieving results consistent with experimental data.

Contribution

It presents a novel sum rule technique with a polynomial kernel that improves stability and accuracy in calculating the nucleon mass compared to traditional Borel kernel methods.

Findings

Predicted nucleon mass m_N = 0.945 ± 0.045 GeV

Method reduces dependence on unknown continuum contributions

Results align well with experimental measurements

Abstract

A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1/2+ and 1/2- continuum. This approach avoids the arbitrariness and other drawbacks attached to the Borel kernel used in previous sum rules calculations. Our method yields stable results for the nucleon mass and coupling for standard values of the condensates. The prediction of the nucleon mass m_{N}=(0.945 \pm .045) GeV is in good agreement with experiment.