Wigner-Eckart Theorem and the False EDM of $^{199}$Hg
Nuclear Theory
2019-02-20 v3 Nuclear Experiment
Instrumentation and Detectors
Abstract
In neutron electric dipole moment experiments, 199Hg is used as a comagnetometer. The comagnetometer suffers from a false EDM arising in leading order from a gradient dBz/dz in the magnetic field. Our work concerns higher-order multipole corrections to the false EDM of 199Hg. We show that for spherical traps, all higher-order multipole are identically zero. We further show that for the usual cylindrical traps used in EDM experiments, selection of quasi-spherical dimensions for the trap can reduce the higher-order contributions. The results are another indication that trap geometry is an important consideration for experiments desiring to control this systematic effect.
Cite
@article{arxiv.1811.12262,
title = {Wigner-Eckart Theorem and the False EDM of $^{199}$Hg},
author = {Wolfgang Klassen and Jeffery W. Martin and Guillaume Pignol},
journal= {arXiv preprint arXiv:1811.12262},
year = {2019}
}