Spinor quantum states of the Dirac's core/shell at fm-space

TL;DR

This paper models Dirac particles in a spherical core/shell structure, analyzing energy level shifts and the emergence of antiparticle-like states at small scales, revealing new quantum behaviors.

Contribution

It introduces an analytical model for Dirac particles in a core/shell regime, highlighting energy level changes and antiparticle states at femtometer scales.

Findings

Energy levels shift with particle localization in the core.

Same-mass particle states are associated with different energy levels.

Heavier mass particles exhibit antiparticle-like states.

Abstract

In this study, we present a model for the behavior of Dirac particles under the tensor effect in the spherical core/shell regime. We examine the change of energy levels corresponding to the particles localized in a space of approximately 1.0 fm in the core region of the quantum sphere, with the well width. It also occurs from the analytical solutions that the two different levels accompany particle states of the same mass. Additionally, the solutions exhibiting anomalous behavior, giving rise to antiparticle-type states, occur at heavier mass.