Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential

TL;DR

This paper investigates the behavior of spin-0 particles in a nonminimal vector double-step potential, revealing unique bound states and transmission properties within the Duffin-Kemmer-Petiau framework.

Contribution

It introduces a detailed analysis of bound states and scattering in a nonminimal vector potential for spin-0 particles, including a special case of sign potential.

Findings

Total reflection of incident waves is impossible.

Transmission amplitude exhibits complex poles indicating bound states.

Unique bound-state solutions for bosons in a sign potential.

Abstract

The problem of spin-0 particles subject to a nonminimal vector double-step potential is explored in the context of the Duffin-Kemmer-Petiau theory. Surprisingly, one can never have an incident wave totally reflected and the transmission amplitude has complex poles corresponding to bound states. The interesting special case of bosons embedded in a sign potential with its unique bound-state solution is analyzed as a limiting case.