Constraints on the nuclear Schiff moment from its correlation with electromagnetic properties

Abstract

We study the nuclear Schiff moments of ${}^{129}$Xe and ${}^{199}$Hg induced by the nucleon electric dipole moment using large-scale shell model calculations. For ${}^{129}$Xe, we find a linear relation between the leading-order contribution and magnetic moment, which would be useful in reducing the theoretical uncertainty. The conventional model space does not contain the $0g_{9/2}$ and $0h_{9/2}$ orbitals, which are connected to the spin-orbit partners by large matrix elements. Thus, to evaluate the influence of the relevant single-particle orbitals outside the conventional model space, we apply the quasiparticle vacua shell model method. Moreover, the next-to-leading-order contribution arises from parity and time-reversal violation inside the nucleus. We demonstrate that these secondary effects do not induce any significant disturbance to the correlation. Additionally, we report the shell model results for the nuclear Schiff moment coefficients of ${}^{199}$Hg. Compared to previous studies, the results obtained in this study are rather large, indicating a higher sensitivity to the neutron electric dipole moment.

References in corpus (7)

• Baryogenesis from the weak scale to the grand unification scale
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Atomic Electric Dipole Moments: The Schiff Theorem and Its Corrections
• Schiff Theorem Revisited
• Screening of nucleon electric dipole moments in atomic systems
• Schiff Screening of Relativistic Nucleon Electric-Dipole Moments by Electrons

Cited by in corpus (2)

• Nuclear Schiff Moments and CP Violation
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe