Studies of the Electric Dipole Polarizability of $^{129}$Xe using the Relativistic Coupled Cluster and the Normal Coupled Cluster Methods

TL;DR

This study performs high-precision calculations of the electric dipole polarizability of $^{129}$Xe using advanced relativistic coupled-cluster methods, providing insights relevant for electric dipole moment searches and demonstrating the methods' accuracy.

Contribution

The paper applies and compares relativistic coupled-cluster and normal coupled-cluster methods to accurately compute $^{129}$Xe's polarizability, advancing theoretical techniques for EDM research.

Findings

Results from the two methods differ by only 2%

Both methods' results are within 1% of experimental measurements

The methods effectively capture electron correlation effects

Abstract

$^{129}$Xe is an important candidate for the searches of electric dipole moments due to violations of time-reversal and parity violations in diamagnetic atoms. In view of the similarities between the electric dipole moment and the polarizability from the point of view of many-body theory, we have performed rigorous calculations of the ground state polarizability of $^{129}$Xe using a self consistent relativistic coupled-cluster method and the relativistic normal coupled-cluster method. The discrepancy between the results from these two methods is two percent, but each of them differs from the accurate measurement of the polarizability of the ground state of $^{129}$Xe by one percent. Our results clearly suggest that the two theoretical methods, we have employed in this work, can be applied in the future to capture electron correlation effects in the electric dipole moment of $^{129}$Xe to a high degree of accuracy.