Production of twisted particles in magnetic fields

TL;DR

This paper explores how uniform magnetic fields can be used to produce twisted particles with orbital angular momentum, detailing quantum states, particle penetration, and experimental methods for creating twisted positrons and positroniums.

Contribution

It introduces a new approach for generating twisted particles using magnetic fields without extra devices, and analyzes phase uncertainty effects during particle propagation.

Findings

Successful proposals for producing twisted positrons and positroniums.

Discovery of increased phase uncertainty with propagation distance.

Potential for producing twisted particles in simple solenoid setups.

Abstract

The use of a (quasi)uniform magnetic field opens new possibilities for a production of twisted particles having orbital angular momenta. Quantum states suitable for a production of charged particles in a uniform magnetic field are determined. The particle penetration from a solenoid to vacuum or another solenoid is analyzed in detail. Experiments allowing one successful discoveries of twisted positrons and positroniums are developed. We find a new effect of increasing a uncertainty of phase of the particle rotation with the distance passed by the particle in the solenoid. This effect leads to exciting new possibilities of production of twisted particles in real solenoids without additional devices like particle sources.