The Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules as probes of constraints from analyticity and chiral symmetry in dynamical models for pion-nucleon scattering

Abstract

The Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules are calculated within a relativistic, unitary and crossing symmetric dynamical model for pion-nucleon scattering using two different methods: 1) by evaluating the scattering amplitude at the corresponding low-energy kinematics and 2) by evaluating the sum-rule integrals with the calculated total cross section. The discrepancy between the results of the two methods provides a measure of the breaking of analyticity and chiral symmetry in the model. The contribution of the $\Delta$ resonance, including its dressing with meson loops, is discussed in some detail and found to be small.

arXiv comment12 pages, 6 figures, using RevTEX4. References added, discussion extended, conclusions unchanged. To be published in Nuclear Physics A

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Cited by in corpus (5)

• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• The associated photoproduction of K+ meson off proton within a coupled-channels K-matrix approach
• Evaluation of the Axial Vector Commutator Sum Rule for Pion-Pion Scattering
• Ratio of the proton electromagnetic form factors from meson dressing