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 (23)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• The origin of the matter-antimatter asymmetry
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Electroweak Baryogenesis
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Magnetic moments of the 2${}_1^{+}$ states around ${}^{132}$Sn
• Baryogenesis from the weak scale to the grand unification scale
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Schiff moment of the Mercury nucleus and the proton dipole moment
• Fully self-consistent calculations of nuclear Schiff moments
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Time-Reversal-Violating Schiff Moment of 199Hg
• Relativistic Normal Coupled-Cluster Theory for Accurate Determination of Electric Dipole Moments of Atoms: First application to ${}^{199}$Hg atom
• 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
• Large-scale shell-model calculations of nuclear Schiff moments of ${}^{129}$Xe and ${}^{199}$Hg
• Screening of nucleon electric dipole moments in atomic systems
• Schiff Screening of Relativistic Nucleon Electric-Dipole Moments by Electrons

Cited by in corpus (3)

• Nuclear Schiff Moments and CP Violation
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• R-parity violating two-loop level rainbowlike contribution to the fermion electric dipole moment