Bosonic interactions with a domain wall

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.