Revisiting Theoretical Analysis of Electric Dipole Moment of $^{129}$Xe

TL;DR

This paper extends the relativistic coupled-cluster theory to better estimate the electric dipole moments of $^{129}$Xe, incorporating new electron-nucleus interaction contributions and comparing different approximation methods to refine constraints on fundamental particle properties.

Contribution

The work introduces an extended linear response approach within RCC theory for EDM calculations, highlighting the significance of non-RPA contributions and high-lying virtual orbitals.

Findings

RCC method reveals significant non-RPA contributions to EDMs.

High-lying virtual orbitals strongly influence S-Ps and $d_e$ contributions.

Constraints on pion-nucleon couplings and quark EDMs are derived.

Abstract

Linear response approach to the relativistic coupled-cluster (RCC) theory has been extended to estimate contributions from the parity and time-reversal violating pseudoscalar-scalar (Ps-S) and scalar-pseudoscalar (S-Ps) electron-nucleus interactions along with electric dipole moments (EDMs) of electrons ($d_e$) interacting with internal electric and magnetic fields. Random phase approximation (RPA) is also employed to produce results to compare with the earlier reported values and demonstrate importance of the non-RPA contributions arising through the RCC method. It shows that contributions from the S-Ps interactions and $d_e$ arising through the hyperfine-induced effects are very sensitive to the contributions from the high-lying virtual orbitals. Combining atomic results with the nuclear shell-model calculations, we impose constraints on the pion-nucleon coupling coefficients, and EDMs of proton and neutron. These results are further used to constrain EDMs and chromo-EDMs of up- and down-quarks by analyzing particle physics models.