The Nucleon Sigma Term from Threshold Parameters

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Additional explanations and references, changes in notation, small numerical changes. 11 pages, Revtex, uses epsf.sty, 1 posts

Scientific paper

10.1016/S0370-2693(00)00505-0

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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