Gravitational Form Factors and Mechanical Properties of the Proton : Connection Between Distributions in 2D and 3D

TL;DR

This paper explores the gravitational form factors of the proton, focusing on the Druck form factor, and connects 2D light front distributions to 3D distributions using Abel transformation, comparing results with other models and lattice data.

Contribution

It introduces a method to derive 3D distributions from 2D light front data for the Druck form factor in a proton model, enhancing understanding of internal mechanical properties.

Findings

3D distributions obtained from 2D data agree with lattice predictions.

The Druck form factor provides insights into internal pressure and shear distributions.

Comparison with other models validates the approach.

Abstract

The gravitational form factors which are obtained from the matrix elements of the energy-momentum tensor provide us information about internal distributions of mass, energy, pressure and shear. The Druck term is the least understood among all the gravitational form factors. In a light front quark-diquark model of proton, we investigate the Druck form factor. Using Abel transformation, we evaluate the 3D distribution in the Breit frame from the 2D light front distributions. The results are compared with other models and lattice predictions.