Full transmission within a wide energy range and super-criticality in relativistic barrier scattering

TL;DR

This paper demonstrates that relativistic particles can achieve nearly complete transmission across potential barriers over a broad energy range, including super-critical regimes, especially under specific symmetry conditions.

Contribution

It reveals conditions for full transmission in relativistic barrier scattering, notably in pseudo-spin symmetric configurations, extending understanding of quantum tunneling in relativistic systems.

Findings

Nearly full transmission within a wide energy band.

Full transmission at arbitrarily small momentum under pseudo-spin symmetry.

Identification of super-criticality effects in relativistic scattering.

Abstract

For potential barriers with scalar and vector coupling, we show that a Dirac particle could experience nearly full transmission within a wide sub-barrier energy band. Moreover, for certain potential configurations, including pseudo-spin symmetry where the scalar potential is the negative of the vector, full transmission occurs for arbitrarily small momentum.