Scaterring of Massless Quasiparticles in the 3He-A Superfluid

TL;DR

This paper investigates how massless quasiparticles in superfluid 3He-A scatter off topological defects like vortices, using a Volovik analog model and solving the Dirac equation to understand the influence of defect geometry.

Contribution

It introduces a detailed analysis of fermionic quasiparticle scattering in superfluid 3He-A with topological defects using a novel analog model and Dirac equation solutions.

Findings

Validation of the optical theorem in this context

Demonstration of defect topology's role in scattering

Dependence of scattering on geometric properties

Abstract

In this work, we analyze the scattering of fermionic quasiparticles in the presence of radial disgyrations and symmetric vortices in the superfluid 3He-A. We consider a Volovik analog model for the description of these defects and investigate the scattering of fermionic quasiparticles in this background. Furthermore, we solve the massless Dirac equation employing this methodology to gain comprehensive insights into the scattering phenomena and its dependence on the geometric properties. These results validate the optical theorem and highlight the role of defect topology in the scattering process.