EDM operator free from Schiff's theorem

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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23 pages, Prog. Theor. Phys. in press

Scientific paper

10.1143/PTP.106.1223

We present generalized Schiff's transformation on electric dipole moments (EDM) in quantum field theory. By the unitary transformation, the time and parity violating interaction $i{ge\over 2} \bar \psi \sigma_{\mu \nu} \gamma_5 \psi F^{\mu \nu}$ is transformed into a new form, but its nonrelativistic reduction has a unique form, which is free from Schiff's theorem. The relativistic corrections to the new EDM operator turn out to be a small increase to the EDM as given by $b_2 (\alpha Z)^2$ with $b_2 \simeq 2 $. Therefore, the calculation of the EDM with nonrelativistic Hartree-Fock wave functions presents the most conservative but reliable estimation for the enhancement factor of the EDM in atoms.

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