Field of a moving locked charge as applied to beam-beam interactions in storage rings

TL;DR

This paper demonstrates that Lorentz transformations do not generally apply to the potentials and fields of particles confined in a region, impacting the understanding of electric fields in high-velocity particles within storage rings.

Contribution

It reveals that the Lorentz transformation cannot be universally applied to locked particles' fields, challenging assumptions in high-energy particle physics and storage ring experiments.

Findings

Lorentz transformations do not apply to locked particle fields.

Electric fields of high-velocity particles remain Coulomb-like.

Implications for deuteron electric-dipole-moment experiments.

Abstract

It is shown that the Lorentz transformation cannot in general be formally applied to potentials and fields of particles locked in a certain region. In particular, this property relates to nucleons in nuclei and to particles and nuclei in storage rings. Even if they move with high velocities, their electric fields are defined by the Coulomb law. The result obtained is rather important for the planned deuteron electric-dipole-moment experiment in storage rings.