Potential for measurement of the tensor electric and magnetic polarizabilities of the deuteron in storage-ring experiments with polarized beams

TL;DR

This paper explores the potential of using storage-ring experiments with polarized deuteron beams to measure tensor electric and magnetic polarizabilities, which are crucial for understanding deuteron structure and fundamental symmetries.

Contribution

It proposes a method utilizing the frozen spin technique in storage rings to measure deuteron tensor polarizabilities with high sensitivity, relevant for upcoming experiments like deuteron EDM searches.

Findings

Sensitivity to deuteron EDM of 1×10⁻²⁹ e·cm allows measuring tensor polarizabilities with ~5×10⁻⁴² cm³ accuracy.

Systematic errors from field misalignments can be minimized, improving measurement precision.

Horizontal polarization components are key to determining the tensor magnetic polarizability.

Abstract

Measurement of the tensor electric and magnetic polarizabilities of the deuteron is of great interest, especially in connection with the possibilities of COSY and GSI. These polarizabilities can be measured in storage rings by the frozen spin method providing a disappearance of g-2 precession. This method will be used in the planned deuteron electric-dipole-moment experiment in storage rings. The tensor electric polarizability of the deuteron significantly influences the buildup of the vertical polarization in the above experiment. The spin interactions depending on the electric dipole moment, the tensor electric polarizability, and main systematical errors caused by field misalignments have very different symmetries. For the considered experimental conditions, the sensitivity to the deuteron EDM of $1\times10^{-29} e\cdot$cm corresponds to measuring the both of tensor polarizabilities with an accuracy of $\delta\alpha_T\approx\delta\beta_T\approx5\times10^{-42}$ cm$^3$. This conservative estimate can be improved by excluding the systematical error caused by the field instability which is negligible for the measurement of the tensor polarizabilities. To find the tensor magnetic polarizability, the horizontal components of the polarization vector should be measured.