Relativistic baryons in the Skyrme model revisited

TL;DR

This paper revisits relativistic baryons within the Skyrme model, developing a new gamma matrix representation, deriving a Dirac equation, and calculating baryon form factors with vector meson dominance.

Contribution

It introduces a novel gamma matrix representation in SU(2) collective space and extends baryon form factor calculations to arbitrary momenta.

Findings

Derived a new Dirac equation for relativistic baryons

Extended vector current analysis to arbitrary momenta

Calculated baryon elastic form factors with vector meson dominance

Abstract

We investigate and revisit certain aspects of relativistic baryons in the Skyrme model. Starting from static baryons in the helicity eigenstates, we generalize their wavefunctions to the non-static and relativistic regime. A new representation for gamma matrices in the SU(2) collective space is constructed and the corresponding Dirac equation is obtained. Furthermore, we extend the analysis of Adkins et al. concerning vector current vacuum expectation values for baryon states to arbitrary momenta and calculate baryon elastic form factors in a general framework exhibiting vector meson dominance.