Gravitation form-factors and spin asymmetries in hadron elastic scattering

TL;DR

This paper models hadron elastic scattering using GPD moments, successfully describing experimental data at high energies with minimal parameters and analyzing spin asymmetries, including the RHIC $A_N$ results.

Contribution

It introduces a novel approach using the first and second moments of GPDs to describe scattering amplitudes and spin effects with only four free parameters.

Findings

Qualitative agreement with experimental data at $ oot s \\geq 52.8$ GeV.

Determination of the nucleon-nucleon spin-flip amplitude.

Predicted analyzing power $A_N$ at RHIC energies.

Abstract

In the framework of the model, where the scattering amplitude is determined by the first and second moments of the GPDs, the qualitative description of all existing experimental data at $\sqrt{s} \geq 52.8 $ GeV, including the Coulomb range and large momentum transfers, is obtained with only 4 free parameters. The spin-flip amplitude of the nucleon-nucleon elastic scattering is determined taking into account the spin-dependence part of the second moment of the generalized parton distributions (GPDs) with a new set of $t $-dependence. The corresponding value of the % analyzing power $A_N$ for the $pp$ at high energy (RHIC) elastic scattering is obtained.