A dynamical model for pion electroproduction on the nucleon

Details A dynamical model for pion electroproduction on the nucleon A dynamical model for pion electroproduction on the nucleon

2005-06-02

arxiv.org/abs/nucl-th/0506006v1

Phys.Rev. C72 (2005) 035203

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.72.035203

We develop a Lorenz- and gauge-invariant dynamical model for pion electroproduction in the resonance region. The model is based on solving of the Salpeter (instantaneous) equation for the pion-nucleon interaction with a hadron-exchange potential. We find that the one-particle-exchange kernel of the Salpeter equation for pion electroproduction develops an unphysical singularity for a finite value of $Q^{2}$. We analyse two methods of dealing with this problem. Results of our model are compared with recent single-polarization data for pion electroproduction.

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