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arXiv · 1310.6114

New Sum Rule Determination of the Mass and Strangeness Content of the Nucleon

Nasrallah F. Nasrallah·Karl Schilcher
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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 instability 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 in the chiral limit is mN = (830+/-50)MeV. With the pion-nucleon sigma-term given by chiral perturbation theory and the strange sigma-term estimated by the Zweig rule we get mN = (990+/-50)MeV.

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Nasrallah F. Nasrallah, Karl Schilcher. 2013-10-23. New Sum Rule Determination of the Mass and Strangeness Content of the Nucleon. https://doi.org/10.1103/physrevc.89.045202

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