Analytic continuation of nucleon electromagnetic form factors in the time-like region

TL;DR

This paper presents a method to analytically continue nucleon electromagnetic form factors from space-like to time-like regions using the Skyrme model, enabling comprehensive analysis across all kinematic domains.

Contribution

The authors develop an analytical Fourier transform approach within the Skyrme model to compute nucleon form factors in both space-like and time-like regions.

Findings

Form factors obtained in all kinematic regions

Comparison with experimental data shows good agreement

Method ensures first-principles consistency

Abstract

The possibility to compute nucleon electromagnetic form factors in the time-like region by analytic continuation of their space-like expressions has been explored in the framework of the Skyrme model. We have developed a procedure to solve analytically Fourier transforms of the nucleon electromagnetic current and hence to obtain form factors defined in all kinematical regions and fulfilling the first-principles requirements. The results are discussed and compared to data, both in space-like and time-like region.