Electromagnetic Form Factors of Nucleons with QCD Constraints Sytematic Study of the Space and Time-like Regions

TL;DR

This paper investigates nucleon electromagnetic form factors in space-like and time-like regions, ensuring QCD constraints are met asymptotically, and demonstrates good agreement with experimental data using dispersion relations.

Contribution

It introduces a systematic study applying unsubtracted dispersion relations with superconvergence conditions to incorporate QCD constraints into form factor analysis.

Findings

Form factors match experimental data well

QCD constraints are satisfied asymptotically

Dispersion relations effectively model nucleon form factors

Abstract

Elastic electromagnetic form factors of nucleons are investigated both for the time-like and the space-like momentums under the condition that the QCD constraints are satisfied asymptotically. The unsubtracted dispersion relation with the superconvergence conditions are used as a realization of the QCD conditions. The experimental data are analyzed by using the dispersion formula and it is shown that the calculated form factors reproduce the experimental data reasonably well.