Weak quadrupole moments

Abstract

Collective effects in deformed atomic nuclei present possible avenues of study on the non-spherical distribution of neutrons and the violation of the local Lorentz invariance. We introduce the weak quadrupole moment of nuclei, related to the quadrupole distribution of the weak charge in the nucleus. The weak quadrupole moment produces tensor weak interaction between the nucleus and electrons and can be observed in atomic and molecular experiments measuring parity nonconservation. The dominating contribution to the weak quadrupole is given by the quadrupole moment of the neutron distribution, therefore, corresponding experiments should allow one to measure the neutron quadrupoles. Using the deformed oscillator model and the Schmidt model we calculate the quadrupole distributions of neutrons, $Q_n$, the weak quadrupole moments ,$Q_W^{(2)}$, and the Lorentz Innvariance violating energy shifts in ${}^9$Be, ${}^{21}$Ne , ${}^{27}$Al, ${}^{131}$Xe, ${}^{133}$Cs, ${}^{151}$Eu, ${}^{153}$Eu, ${}^{163}$Dy, ${}^{167}$Er, ${}^{173}$Yb, ${}^{177}$Hf, ${}^{179}$Hf, ${}^{181}$Ta, ${}^{201}$Hg and ${}^{229}$Th.

References in corpus (7)

• A precision measurement of the electron's electric dipole moment using trapped molecular ions
• Time-reversal symmetry violation in molecules induced by nuclear magnetic quadrupole moments
• Parity and Time-Reversal Violation in Atomic Systems
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Probing Lorentz violation with Doppler-shift experiments
• Effect of nuclear quadrupole moment on parity nonconservation in atoms
• Towards improved measurements of parity violation in atomic ytterbium

Cited by in corpus (5)

• Nuclear spin-dependent parity-violating effects in light polyatomic molecules
• Time reversal violating Magnetic Quadrupole Moment in heavy deformed nuclei
• Laser-coolable AcOH${}^{+}$ ion for $\mathcal{C}\mathcal{P}$-violation searches
• HfF${}^{+}$ as a candidate to search for the nuclear weak quadruple moment
• A survey of nuclear quadrupole deformation in order to estimate the nuclear MQM and its relative contribution to the atomic EDM