Internal and external dynamics of antihydrogen in electric and magnetic fields of arbitrary orientation

TL;DR

This paper develops an exact model for the motion of antihydrogen atoms in arbitrary electric and magnetic fields, accounting for both external and internal dynamics to improve understanding of antihydrogen behavior.

Contribution

It introduces a comprehensive model describing antihydrogen dynamics in arbitrary fields, combining external motion with internal quantum characteristics for realistic simulations.

Findings

Derived an expression for the force on antihydrogen in arbitrary fields.

Validated the model against special cases with known results.

Enhanced understanding of antihydrogen behavior in complex field configurations.

Abstract

We have studied the motion of antihydrogen atoms in electric and magnetic fields of arbitrary orientation. Our aim was to find an exact model of external (centre-of-charge) and internal dynamics which would allow us to describe antihydrogen motion in a realistic way. After analysing the kinematics of the charge exchange reaction producing antihydrogen and of antihydrogen deexcitation, we discuss the dynamics in cases of special fields configurations. Finally, we propose an expression for the force acting on an antihydrogen atom when the field configuration is arbitrary. The general formula -- when reduced in the special field configurations -- matches the results which we obtained independently before. The focus is both on the centre of charge dynamics and on the accurate internal quantum characteristics.