GPDs of hadrons and elastic pion-nucleon scattering

TL;DR

This paper models the pion's internal structure using GPDs derived from nucleon GPDs within the HEGS framework, successfully describing pion-nucleon elastic scattering across various energies and momentum transfers.

Contribution

It introduces a novel approach to determine pion GPDs based on nucleon GPDs and experimental data, enhancing the understanding of pion structure and scattering processes.

Findings

Calculated pion electromagnetic and gravitomagnetic form factors.

Described pion-nucleon elastic scattering over wide energy and momentum transfer ranges.

Achieved a good fit with minimal parameters.

Abstract

The pion structure is represented by Generelazed parton distribution functions (GPDs). The momentum transfer dependence of GPDs of the pion was obtained on the basis of the form of GPDs of the nucleon in the framework of the high energy generalized structure (HEGS) model. To this end, different forms of PDFs of the pion of various Collaborations were examined with taking into account the available experimental data on the pion form factors. As a result, the electromagnetic and gravitomagnetic form factors of the pion were calculated. They were used in the framework of the HEGS model with the electromagnetic and gravitomagnetic form factors of the proton for describing pion-nucleon elastic scattering in a wide energy and momentum transfer region with a minimum of fitting parameters. The properties of the obtained scattering amplitude were analyzed.