Analyticity in a phenomenology of electro-weak structure of hadrons

TL;DR

This paper demonstrates how analyticity principles can enhance the phenomenology of electro-weak hadron structure, resolving inconsistencies and deriving new, experimentally verifiable results using analytic properties of form factors.

Contribution

It introduces a general approach to determine singularities of form factors and applies analyticity to improve understanding of electro-weak hadron interactions.

Findings

Resolved asymptotic behavior inconsistency in VMD model

Derived new form factor singularities from Feynman diagrams

Produced experimentally verifiable predictions

Abstract

The utility of an application of the analyticity in a phenomenology of electro-weak structure of hadrons is demonstrated in a number of obtained new and experimentally verifiable results. With this aim first the problem of an inconsistency of the asymptotic behavior of VMD model with the asymptotic behavior of form factors of baryons and nuclei is solved generally and a general approach for determination of the lowest normal and anomalous singularities of form factors from the corresponding Feynman diagrams is reviewed. Then many useful applications by making use of the analytic properties of electro-weak form factors and amplitudes of various electromagnetic processes of hadrons are carried out.