Absence of Klein's paradox for massive bosons coupled by nonminimal vector interactions

TL;DR

This paper investigates the behavior of massive bosons under nonminimal vector interactions in the Duffin-Kemmer-Petiau theory, demonstrating that Klein's paradox does not occur with such couplings, especially in scattering scenarios.

Contribution

It reveals that nonminimal vector interactions prevent Klein's paradox for massive bosons, highlighting the distinct roles of space and time components in confinement and leakage.

Findings

Klein's paradox is absent for nonminimal vector couplings.

The space component of the interaction is crucial for confinement.

The time component contributes to leakage in scattering processes.

Abstract

A few properties of the nonminimal vector interactions in the Duffin-Kemmer-Petiau theory are revised. In particular, it is shown that the space component of the nonminimal vector interaction plays a peremptory role for confining bosons whereas its time component contributes to the leakage. Scattering in a square step potential with proper boundary conditions is used to show that Klein's paradox does not manifest in the case of a nonminimal vector coupling.