Abstract
In neutron electric dipole moment (EDM) experiments, 199Hg is used as a comagnetometer. The comagnetometer suffers from a false EDM arising in leading order from a gradient ∂Bz∕∂z 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 multipoles 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 indicate that trap geometry is an important consideration beyond leading order for experiments desiring to control this systematic effect.
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