GPDs of the nucleons and elastic scattering at high energies

TL;DR

This paper develops a new model for nucleon GPDs incorporating electromagnetic and gravitational form factors, successfully describing high-energy elastic scattering data across a wide energy and momentum transfer range.

Contribution

It introduces a novel set of $t$-dependent GPDs and a model that accurately fits extensive experimental data with only three high-energy parameters.

Findings

Achieves quantitative agreement with experimental data from 52.8 GeV to 1960 GeV.

Successfully describes elastic scattering including Coulomb and large momentum transfer regions.

Provides preliminary comparison with 7 TeV TOTEM data, validating the model.

Abstract

Taking into account the electromagnetic and gravitational form factors, calculated from a new set of $t $-dependent GPDs, a new model is built. The real part of the hadronic amplitude is determined only through complex $s$. In the framework of this model the quantitative description of all existing experimental data at $52.8 \leq \sqrt{s} \leq 1960 \ $GeV, including the Coulomb range and large momentum transfers ($0.0008 \leq |t| \leq 9.75 \ $GeV$^2$), is obtained with only $3$ fitting high energy parameters. The comparison with the preliminary data of the TOTEM Collaboration at an energy of $7$ TeV is made.