Abstract

The tensor polarization of particles and nuclei is constant in a coordinate system rotating with the same angular velocity as the spin. In the laboratory frame, it rotates with this angular velocity. The general equation determining the evolution of the tensor polarization is derived. An explicit form of the dynamics of this polarization is given in the case when the angular velocity of the spin precession is constant and vertical. It is shown that the spin tensor interactions result in mutual transformations of the vector and tensor polarizations. These interactions can influence the spin motion.

Highlights

  • Polarized beams are often considered as a research tool to study the fundamental interactions and to search for new physics

  • The dynamics of the tensor polarization in external fields has been described in Refs. [9, 10]

  • The proposed approach allows one to couple dynamics of the tensor and vector polarizations and to obtain general formulae determining the evolution of particles/nuclei polarization in external fields

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Summary

Introduction

Polarized beams are often considered as a research tool to study the fundamental interactions and to search for new physics. Studies of dynamics of tensor polarization of light nuclei (e.g., the deuteron with spin 1) allow one to predict and to describe some new effects [1,2,3,4,5,6,7,8]. We use a simple general approach for the description of dynamics of the tensor polarization of particles and nuclei when this dynamics is caused by linear in spin interactions with external fields. The proposed approach allows one to couple dynamics of the tensor and vector polarizations and to obtain general formulae determining the evolution of particles/nuclei polarization in external fields.

General properties of spin dynamics
Evolution of the polarization tensor
Spin rotation about the vertical axis
Spin evolution conditioned by the tensor interactions
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