Phase-shift in low-energy scattering

Abstract

Scattering processes constitute a basic method in many branches of physics, for example in the experimental investigation of charge and matter distributions of different systems, or in investigations of the nature of the interaction between particles. I will mostly focus on the study of elastic particle scattering at low energies, from a fixed, localized potential. In this situation, the dominant contribution comes from l = 0 partial waves, in a process also known as s-wave scattering. The goal of this work is to study the effects of the potential on the wave function describing the propagation of a particle.