Nuclear Schiff moment in nuclei with soft octupole and quadrupole vibrations

Abstract

Nuclear forces violating parity and time reversal invariance ($\mathcal{P},\mathcal{T}$-odd) produce $\mathcal{P},\mathcal{T}$-odd nuclear moments, for example, the nuclear Schiff moment. In turn, this moment can induce the electric dipole moment in the atom. The nuclear Schiff moment is predicted to be enhanced in nuclei with static quadrupole and octupole deformation. The analogous suggestion of the enhanced contribution to the Schiff moment from the soft collective quadrupole and octupole vibrations in spherical nuclei is tested in this article in the framework of the quasiparticle random phase approximation with separable quadrupole and octupole forces applied to the odd ${}^{217-221}$Ra and ${}^{217-221}$Rn isotopes. We confirm the existence of the enhancement effect due to the soft modes. However, in the standard approximation the enhancement is strongly reduced by a small weight of the corresponding "particle + phonon" component in a complicated wave function of a soft nucleus. The perspectives of a better description of the structure of heavy soft nuclei are discussed.

arXiv comment27 pages, 3 figures, minor corrections in references added

References in corpus (20)

• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Measurement of the electron electric dipole moment using YbF molecules
• A new limit on the permanent electric dipole moment of ^{199}Hg
• Enhanced T-odd P-odd Electromagnetic Moments in Reflection Asymmetric Nuclei
• Nuclear time-reversal violation and the Schiff moment of 225Ra
• Collective T- and P- Odd Electromagnetic Moments in Nuclei with Octupole Deformations
• Time-Reversal Violating Schiff Moment of 225Ra
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Solid State Systems for Electron Electric Dipole Moment and other Fundamental Measurements
• P- and T-violating Schiff moment of the Mercury nucleus
• Nuclear Octupole Correlations and the Enhancement of Atomic Time-Reversal Violation
• Time-Reversal-Violating Schiff Moment of 199Hg
• Variation with mass of $\boldmath{B(E3; 0_1^+ \to 3_1^-)}$ transition rates in $A=124-134$ even-mass xenon nuclei
• Quadrupole and octupole softness in the N=Z nucleus 64Ge
• Enhancement of nuclear Schiff moments and time reversal violation in atoms due to soft nuclear octupole vibrations
• Effects of core polarization on the nuclear Schiff moment
• Renormalization of the P- and T-odd nuclear potentials by the strong interaction and enhancement of P-odd effective field
• A suggested search for 207Pb nuclear Schiff moment in PbTiO3 ferroelectric
• Possible doublet mechanism for a regular component of parity violation in neutron scattering
• High-lying single-particle modes, chaos, correlational entropy, and doubling phase transition

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• The observation of vibrating pear shapes in radon nuclei: update
• Enhanced nuclear Schiff moment and time reversal violation in 229Th-containing molecules
• Parity violation and electric dipole moments in atoms and molecules
• Enhanced nuclear Schiff moment in stable and metastable nuclei
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• Enhanced Magnetic Quadrupole Moments in Nuclei with Octupole Deformation and their CP-violating effects in molecules
• Nuclear Structure and the Search for Collective Enhancement of P,T-Violation
• Ab initio study of electronic states and radiative properties of the AcF molecule
• Enhanced Schiff and magnetic quadrupole moments in deformed nuclei and their connection to the search for axion dark matter
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