Bosonic interactions with a domain wall

TL;DR

This paper investigates how scalar bosons interact with a topological domain wall, revealing a spectrum of scattering states and bound states, and explores implications for boson entrapment and emission within the wall.

Contribution

It introduces a detailed analysis of bosonic interactions with domain walls, including the spectrum of bound and scattering states using a Schrödinger-like equation with a P"oschl-Teller potential.

Findings

Existence of a continuum of scattering states.

Presence of a quasi-discretuum of bound states.

Implications for boson entrapment and high-energy emission.

Abstract

We consider here the interaction of scalar bosons with a topological domain wall. Not only is there a continuum of scattering states, but there is also an interesting "quasi-discretuum" of positive energy bosonic bound states, describing bosons entrapped within the wall's core. The full spectrum of the scattering and bound state energies and eigenstates is obtainable from a Schr\"odinger-type of equation with a P\"oschl-Teller potential. We also consider the presence of a boson gas within the wall and high energy boson emission.