The uniqueness of the invariant polarisation-tensor field for spin-1 particles in storage rings

TL;DR

This paper proves the uniqueness of the invariant tensor field for spin-1 particles in storage rings, assuming the invariant spin field is unique, thereby completing previous discussions on the topic.

Contribution

It establishes the uniqueness of the invariant tensor field for spin-1 particles, given the uniqueness of the invariant spin field, clarifying a key aspect of spin dynamics in storage rings.

Findings

Proves the invariant tensor field is unique under certain conditions.

Completes the theoretical framework for spin-1 particle polarization.

Clarifies the relationship between invariant spin and tensor fields.

Abstract

We argue that the invariant tensor field introduced in [1] is unique under the condition that the invariant spin field is unique, and thereby complete that part of the discussion in that paper.