Unitarity Constraints on effective interaction in $πN$ scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

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version to appear in Phys. Lett. B. 6 pages

Scientific paper

10.1016/j.physletb.2007.03.052

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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