Gravitational form factors of a baryon with spin-3/2

TL;DR

This paper derives the gravitational form factors for a spin-3/2 baryon, revealing seven mechanical quantities via multipole expansion, and verifies these relations using the SU(2) Skyrme model for nucleons and Δ baryons.

Contribution

It provides the general form of gravitational form factors for spin-3/2 baryons and establishes relations between EMT densities and GFFs, verified within a specific model.

Findings

Seven mechanical quantities for spin-3/2 baryons identified

Relations between EMT densities and GFFs established

Verification performed using the SU(2) Skyrme model

Abstract

The energy-momentum tensor (EMT) for a spin-3/2 baryon is related to \emph{seven} mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $\Delta$ GFFs within the SU(2) Skyrme model based on the large $N_{c}$ limit.