Supersymmetric structure in the Dirac equation with cylindrically-deformed potentials

TL;DR

This paper explores how supersymmetric patterns emerge in the Dirac equation when it includes cylindrically-deformed scalar and vector potentials, revealing underlying relativistic symmetries.

Contribution

It introduces a framework for understanding supersymmetric structures within the Dirac equation with cylindrically-deformed potentials, expanding the theoretical understanding of relativistic symmetries.

Findings

Identification of supersymmetric patterns in the Dirac Hamiltonian

Analysis of relativistic symmetries with axially-deformed potentials

Potential implications for nuclear and particle physics

Abstract

Classes of relativistic symmetries accommodating supersymmetric patterns are considered for the Dirac Hamiltonian with axially-deformed scalar and vector potentials.