The Nucleon Sigma Term from Threshold Parameters

Abstract

A new sum rule determines the nucleon sigma term by the πN elastic scattering threshold parameters alone. This "threshold" value of σ(2μ^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_π< 100 MeV) πN data our sum rule implies σ(2μ^2) = 71\pm 9 MeV.

Additional explanations and references, changes in notation, small numerical changes. 11 pages, Revtex, uses epsf.sty, 1 postscript figure. Version to be published in Physics Letters B

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