A dispersive approach to pion photo- and electroproduction
D. Drechsel, B. Pasquini, and L. Tiator
TL;DR
This paper employs dispersion relations to analyze pion photo- and electroproduction amplitudes, deriving low-energy constants of chiral perturbation theory through a comprehensive, spectrum-based approach.
Contribution
It introduces a dispersive method at constant t for calculating amplitudes and connecting them to chiral perturbation theory constants.
Findings
Sum rules and low-energy theorems verified
Unique sub-threshold continuation framework established
Low-energy constants derived from excitation spectrum
Abstract
The relativistic amplitudes of pion photo- and electroproduction are calculated by dispersion relations at constant t. Several sum rules and low-energy theorems for the threshold amplitudes are investigated within this technique. The continuation of the amplitudes to sub-threshold kinematics is shown to provide a unique framework to derive the low-energy constants of chiral perturbation theory by global properties of the excitation spectrum.
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