Screening and finite size corrections to the octupole and Schiff moments

TL;DR

This paper derives corrections to nuclear octupole and Schiff moments caused by finite nuclear size and electron screening, which are crucial for interpreting atomic EDM measurements related to CP-violation.

Contribution

It introduces new expressions for nuclear electric moments including screening and finite size effects, enhancing the accuracy of atomic EDM predictions in heavy atoms.

Findings

Derived electron screening correction for octupole moments

Calculated Z alpha corrections to Schiff moments for heavy nuclei

Highlights importance of these corrections in interpreting EDM experiments

Abstract

Parity (P) and time reversal (T) violating nuclear forces create P, T -odd moments in expansion of the nuclear electrostatic potential. We derive expression for the nuclear electric octupole field which includes the electron screening correction (similar to the screening term in the Schiff moment). Then we calculate the Z alpha corrections to the Schiff moment which appear due to the finite nuclear size. Such corrections are important in heavy atoms with nuclear charge Z > 50. The Schiff and octupole moments induce atomic electric dipole moments (EDM) and P, T -odd interactions in molecules which are measured in numerous experiments to test CP-violation theories.