Time- and parity-violating effects of nuclear Schiff moment in molecules and solids

TL;DR

This paper identifies inaccuracies in previous calculations of nuclear Schiff moment interactions in molecules and solids, providing corrected matrix elements and results for various molecules and a solid, enhancing the precision of T,P-violating interaction estimates.

Contribution

It introduces an accurate operator for nuclear Schiff moment interactions, correcting prior calculations and applying it to multiple molecules and a solid for improved accuracy.

Findings

Corrected matrix elements for Schiff moment interactions

Significant errors in previous calculations identified

Enhanced accuracy in T,P-violating interaction estimates

Abstract

We show that existing calculations of the interaction between nuclear Schiff moments and electrons in molecules use an inaccurate operator which gives rise to significant errors. By comparing the matrix elements of the accurate and imprecise Schiff moment operators, we calculated the correction factor as a function of the nuclear charge Z and presented corrected results for the T,P-violating interaction of the nuclear spin with the molecular axis in the TlF, RaO, PbO, TlCN, ThO, AcF molecules and in the ferroelectric solid PbTiO$_3$.