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

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 is not manifested in the case of a nonminimal vector coupling.