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arxiv: hep-ph/0611325 · v2 · submitted 2006-11-27 · ✦ hep-ph · hep-th· nucl-th

Unitarity Constraints on effective interaction in π N scattering

classification ✦ hep-ph hep-thnucl-th
keywords constraintspion-nucleonscatteringamplitudesavailablebaryonschiralcombination
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Positivity constraints are derived on pion-nucleon scattering amplitudes and their even-order derivatives inside the Mandelstam Triangle with the help of dispersion relations. Fairly interesting constraints are obtained on some of the low energy constants, by a combination of the chiral perturbation theory for heavy baryons and existing fitting results from available pion-nucleon phase shifts at intermediate energies.

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