# Classical neutral point particle in linearly polarized EM plane wave field

## TL;DR

This paper develops a covariant classical model for neutral particles with magnetic moments in electromagnetic fields, providing analytical solutions for neutrino beam control in laser fields, and discusses the limitations of such control with linearly polarized waves.

## Contribution

It introduces a covariant classical model for neutral particles with magnetic moments and solves their dynamics in linearly polarized laser fields, highlighting the challenges in neutrino beam control.

## Key findings

- Analytical solutions for particle motion in laser fields.
- Cancellation of beam control effects with linearly polarized waves.
- Discussion on non-uniqueness of the covariant torque equation.

## Abstract

We study a covariant classical model of neutral point particles with magnetic moment interacting with external electromagnetic fields. Classical dynamical equations which reproduce a correct behavior in the non-relativistic limit are introduced. We also discuss the non-uniqueness of the covariant torque equation. The focus of this work is on Dirac neutrino beam control. We present a full analytical solution of the dynamical equations for a neutral point particle motion in the presence of an external linearly polarized EM plane wave (laser) fields. Neutrino beam control using extremely intense laser fields could possibly demonstrate Dirac nature of the neutrino. However, for linearly polarized ideal laser waves we show cancellation of all leading beam control effects.