Gravitational form factors of $\Delta$ baryon via QCD sum rules

TL;DR

This paper calculates the gravitational form factors of the Δ baryon using QCD sum rules, providing insights into its internal structure, pressure distribution, and geometric shape, and compares these results with existing literature.

Contribution

It introduces a QCD sum rule approach to compute the gravitational form factors of the Δ resonance, revealing new details about its internal mechanical properties.

Findings

Calculated gravitational form factors for Δ baryon.

Determined the mass radius and internal pressure distribution.

Compared results with existing theoretical predictions.

Abstract

The gravitational form factors of a hadron are defined through the matrix elements of the energy-momentum tensor current, which can be decomposed into the quark and gluonic parts, between the hadronic states. These form factors provide important information for answering fundamental questions about the distribution of the energy, the spin, the pressure and the shear forces inside the hadrons. Theoretical and experimental studies of these form factors provide exciting insights on the inner structure and geometric shapes of hadrons. Inspired by this, the gravitational form factors of $\Delta$ resonance are calculated by employing the QCD sum rule approach. The acquired gravitational form factors are used to calculate the composite gravitational form factors like the energy and angular momentum multipole form factors, D-terms related to the mechanical properties like the internal pressure and shear forces as well as the mass radius of the system. The predictions are compared with the existing results in the literature.