The superradiance phenomenon in spin-one particles

TL;DR

This paper investigates superradiance in spin-one particles by solving the DKP equation with a hyperbolic tangent potential, revealing conditions where reflection exceeds unity, indicating superradiance.

Contribution

It demonstrates the equivalence of the DKP and Klein-Gordon equations for spin-one particles and derives scattering solutions showing superradiance phenomena.

Findings

Superradiance occurs for specific potential regions.

Reflection coefficient exceeds one in certain conditions.

Scattering solutions expressed via hypergeometric functions.

Abstract

In this article, we solve the Duffin--Kemmer--Petiau (DKP) equation in the presence of hyperbolic tangent potential for spin-one particles. By partitioning the spin-one spinor, we show that the DKP equation is equivalent to the Klein--Gordon equation formalism. The scattering solutions are derived in terms of hypergeometric functions. The reflection $R$ and transmission $T$ coefficients are calculated in terms of the Gamma functions. The results show the presence of the superradiance phenomenon when $R$ for a specific region in the potential becomes greater than one.