A black potential for spin less particles

TL;DR

This paper investigates a non-Hermitian Hulthen potential's scattering properties for spin-less relativistic particles, revealing conditions for perfect absorption and emission, and introduces a classical waveguide analog.

Contribution

It introduces the concept of a 'black potential' with near-total absorption and its time-reversed emission, expanding understanding of non-Hermitian quantum potentials.

Findings

Almost total absorption occurs over a range of energies.

Time-reversed potential shows perfect emission.

Classical waveguide analog is proposed.

Abstract

We consider the most general non-Hermitian Hulthen potential to study the scattering of spin-less relativistic particles. The conditions for CC, SS and CPA are obtained analytically for this potential. We show that almost total absorption occurs for entire range of incidence energy for certain parameter ranges of the potential and hence term this as `black potential'. Time reversed of the same potential shows perfect emission for the entire range of particle energy. We also present the classical analog of this potential in terms of waveguide cross section.