The Fubini-Furlan-Rossetti Sum Rule Revisited

Abstract

The Fubini-Furlan-Rossetti sum rule for pion photoproduction on the nucleon is evaluated by dispersion relations at constant t, and the corrections to the sum rule due to the finite pion mass are calculated. Near threshold these corrections turn out to be large due to pion-loop effects, whereas the sum rule value is closely approached if the dispersion integrals are evaluated for sub-threshold kinematics. This extension to the unphysical region provides a unique framework to determine the low-energy constants of chiral perturbation theory by global properties of the excitation spectrum.

arXiv comment12 pages, 7 postscript figures, EPJ style files included

References in corpus (7)

• A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
• Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity
• Delta(1232) and the Polarizabilities of the Nucleon
• Test of low-energy theorems for p(\vec{gamma},π^{0})p in the threshold region
• Pi0 photo- and electroproduction at threshold within a dynamical model
• Chiral symmetry and the reaction $\gamma p\to {\pi }^{0}p$
• Aspects of near threshold neutral pion photoproduction off protons

Cited by in corpus (14)

• Chiral Perturbation Theory and Baryon Properties
• Electroexcitation of nucleon resonances
• Electromagnetic Excitation of Nucleon Resonances
• Chiral perturbation theory
• Threshold ${\pi }^0$ photoproduction in relativistic chiral perturbation theory
• The Fubini-Furlan-Rosetti sum rule and related aspects in light of covariant baryon chiral perturbation theory
• The MAID Legacy and Future
• Unexpected impact of D waves in low-energy neutral pion photoproduction from the proton and the extraction of multipoles
• Dispersion Theory and the Low Energy Constants for Neutral Pion Photoproduction
• Invariant Amplitudes for Pion Electroproduction
• Low-Energy D-Wave Effects in Neutral Pion Photoproduction
• A dispersive approach to pion photo- and electroproduction
• The chiral limit of QCD and above
• Aspects of QCD Current Algebra on a Null Plane