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arxiv: hep-ph/0001203 · v2 · submitted 2000-01-19 · ✦ hep-ph · nucl-th

The Nucleon Sigma Term from Threshold Parameters

classification ✦ hep-ph nucl-th
keywords sigmathresholdnucleonparametersprovidesruletermalone
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A new sum rule determines the nucleon sigma term by the \pi N elastic scattering threshold parameters alone. This "threshold" value of \sigma(2\mu^2) provides an independent check of existing values obtained from global dispersive analyses, and also provides a realistic error assignment. Employing a recent analysis of low energy (T_\pi < 100 MeV) \pi N data our sum rule implies \sigma(2\mu^2) = 71\pm 9 MeV.

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