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

Abstract In this study, we present a model for the behaviour of Dirac particles under the tensor interaction 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 is obtained that the analytical solutions occur when the two different levels accompany particle states of the same mass. Additionally, the solutions exhibiting anomalous behaviour, giving rise to antiparticle-type states, exist at heavier mass.