Spin rotation and birefringence effect for a particle in a high energy storage ring and measurement of the real part of the coherent elastic zero-angle scattering amplitude, electric and magnetic polarizabilities

TL;DR

This paper analyzes spin evolution equations for particles in high energy storage rings, proposing a method to measure the real part of the elastic scattering amplitude and polarizabilities via spin rotation and birefringence effects.

Contribution

It introduces a novel approach to measure the real part of the elastic scattering amplitude and polarizabilities using spin dynamics and paramagnetic resonance in storage rings.

Findings

Derived equations for spin evolution considering tensor polarizabilities.

Proposed a measurement method using paramagnetic resonance.

Identified potential for precise measurement of scattering amplitudes.

Abstract

In the present paper the equations for the spin evolution of a particle in a storage ring are analyzed considering contributions from the tensor electric and magnetic polarizabilities of the particle. Study of spin rotation and birefringence effect for a particle in a high energy storage ring provides for measurement as the real part of the coherent elastic zero-angle scattering amplitude as well as tensor electric and magnetic polarizabilities. We proposed the method for measurement the real part of the elastic coherent zero-angle scattering amplitude of particles and nuclei in a storage ring by the paramagnetic resonance in the periodical in time nuclear pseudoelectric and pseudomagnetic fields.