Unitarity Constraints on effective interaction in $\pi N$ scattering
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Theory
Nuclear Theory
Abstract
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.
Cite
@article{arxiv.hep-ph/0611325,
title = {Unitarity Constraints on effective interaction in $\pi N$ scattering},
author = {Mingxing Luo and Yong Wang and Guohuai Zhu},
journal= {arXiv preprint arXiv:hep-ph/0611325},
year = {2008}
}
Comments
version to appear in Phys. Lett. B. 6 pages