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Microscopic derivation of pion-nucleon and pion-Delta scattering lengths

arXiv:nucl-th/0106071 · doi:10.1016/j.nuclphysa.2004.01.128

Abstract

A general expression for the $π-N$ and $π-Δ$ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wave-functions and spontaneous chiral symmetry are included consistently. The point-like limit is used to calculate the scattering lengths.

Clarified version of the preprint. 1 elsart manuscript, 2 eps figures