Confinement of neutral fermions by a pseudoscalar double-step potential in (1+1) dimensions

TL;DR

This paper investigates how neutral fermions can be confined in (1+1) dimensions using a pseudoscalar double-step potential, deriving bound states under strong coupling conditions and supporting confinement through effective mass and magnetic interactions.

Contribution

It introduces a novel approach to confine neutral fermions with a pseudoscalar double-step potential in (1+1) dimensions, providing explicit bound-state solutions and physical explanations.

Findings

Bound states exist for sufficiently strong coupling.

Confinement is supported by effective mass arguments.

Magnetic interactions contribute to confinement plausibility.

Abstract

The problem of confinement of neutral fermions in two-dimensional space-time is approached with a pseudoscalar double-step potential in the Dirac equation. Bound-state solutions are obtained when the coupling is of sufficient intensity. The confinement is made plausible by arguments based on effective mass and anomalous magnetic interaction.